Main Publications
(i) Monographs and Surveys
Some singular boundary value problems for ordinary differential equations. (Russian) Tbilisi University Press, Tbilisi, 1975.
Boundary value problems for systems of ordinary differential equations. (Russian) Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh. 30 (1987), 3-103; English transl.: J. Sov. Math. 43 (1988), No. 2, 2259-2339. pdf
Singular boundary value problems for second order ordinary differential equations (with B. L. Shekhter). (Russian) Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh. 30 (1987), 105-201; English transl.: J. Sov. Math. 43 (1988), No. 2, 2340-2417. pdf
Asymptotic properties of solutions of nonautonomous ordinary differential equations (with T. Chanturia). (Russian) Nauka, Moscow, 1990.
Asymptotic properties of solutions of nonautonomous ordinary differential equations (with T. Chanturia). Kluwer Academic Publishers, Dordrecht-Boston-London, 1993.
On multi-point boundary value problems for systems of functional differential and difference equations (with Sh. Gelashvili). Mem. Differential Equations Math. Phys. 5 (1995), 1-113.
Initial and boundary value problems for systems of ordinary differential equations, I. (Russian) Metsniereba, Tbilisi, 1997.
Boundary value problems for systems of linear ordinary differential equations. (Czech) Masaryk University, Brno, 1997.
Boundary value problems for systems of linear functional differential equations (with B. Puza). Masaryk University, Brno, 2003.
(ii) Papers
On the oscillation of solutions of some ordinary differential equations. (Russian) Dokl. Akad. Nauk SSSR 144 (1962), No. 1, 33-36; English transl.: Sov. Math., Dokl. 3 (1962), 649-652.
On oscillation conditions for solutions of the equation . (Russian) Časop. Pěstov. Mat. 87 (1962), No. 4, 492-495.
On asymptotic properties of solutions of the equation . (Russian) Soobshch. Akad. Nauk Gruz. SSR 30 (1963), No. 2, 129-136.
On the oscillation of solutions of the equation . (Russian) Mat. Sb. 65 (1964), No. 2, 172-187. pdf
On the asymptotic representation of solutions of linear differential equations. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 102 (1964), 149-167.
On nonoscillatory solutions of the equation . (Russian) Soobshch. Akad. Nauk Gruz. SSR 35 (1964), No. 1, 15-22.
A note on the boundedness of solutions of differential equations. (Russian) Trudy Tbiliss. Univ. Mat. Mekh. Astronom. 110 (1965), 103-108.
Concerning the oscillation of solutions of nonlinear differential equations. (Russian) Differentsial’nye Uravneniya 1 (1965), No. 8, 995-1006; English transl.: Differ. Equations 1 (1965), 773-782.
Comparison lemma and the question of uniqueness of solutions of the Cauchy problem for ordinary differential equations. (Russian) Soobshch. Akad. Nauk Gruz. SSR 39 (1965), No. 3, 513-518.
On the Cauchy problem for ordinary differential equations with singularity. (Russian) Soobshch. Akad. Nauk Gruz. SSR 37 (1965), No. 1, 19-24.
On the Cauchy problem for singular systems of ordinary differential equations. (Russian) Differentsial’nye Uravneniya 1 (1965), No. 10, 1271-1291; English transl.: Differ. Equations 1 (1965), 995-1011.
Asymptotic properties of solutions of a nonlinear differential equation of Emden-Fowler type. (Russian) Izv. Akad. Nauk SSSR. Ser. Mat. 29 (1965), No. 5, 965-986. pdf
On a priori estimates of derivatives of bounded functions satisfying second order differential inequalities. (Russian) Differentsial’nye Uravneniya 3 (1967), No. 7, 1043-1052; English transl.: Differ. Equations 3 (1967), 541-546.
A note on the oscillation of solutions of the equation . (Russian) Časop. Pěstov. Mat. 92 (1967), No. 3, 343-350.
Some remarks on the solutions of the equation (with D. V. Izjumova). (Russian) Differentsial’nye Uravneniya 4 (1968), No. 4, 589-605; English transl.: Differ. Equations 4 (1968), 302-310.
On the monotone solutions of nonlinear n-th order ordinary differential equations. (Russian) Dokl. Akad. Nauk SSSR 181 (1968), No. 5, 1054-1057; English transl.: Sov. Math., Dokl. 9 (1968), 980-983.
On some singular boundary value problems for nonlinear second order ordinary differential equations. (Russian) Differentsial’nye Uravneniya 4 (1968), No. 10, 1753-1773; English transl.: Differ. Equations 4 (1968), 901-910.
On periodic solutions of nonlinear second order differential equations. Proc. of IV Conf. on Nonlinear Oscillations. Academia, Prague, 1968, 175-180.
On non-negative non-increasing solutions of non-linear second order differential equations. Ann. Mat. Pura ed Appl. 81 (1969), 169-192.
On the singular problem of Nicoletti. (Russian) Dokl. Akad. Nauk SSSR 86 (1969), No. 4, 769-772; English transl.: Sov. Math., Dokl. 10 (1969), 663-666.
On nonoscillation conditions for singular linear second order differential equations. (Russian) Mat. Zametki 6 (1969), No. 5, 633-639. pdf
On monotone solutions of nonlinear n-th order ordinary differential equations. (Russian) Izv. Akad. Nauk SSSR. Ser. Mat. 33 (1969), No. 6, 1373-1398; English transl.: Math. USSR, Izv. 3 (1969), 1293-1317. pdf
On a singular two-point boundary value problem. (Russian) Differentsial’nye Uravneniya 5 (1969), No. 11, 2002-2016; English transl.: Differ. Equations 5 (1969), 1493-1504.
On a singular multi-point boundary value problem. Ann. Mat. Pura Appl. 86 (1970), 367-399.
On oscillatory solutions of nonlinear ordinary differential equations. (Russian) Proc. of 5-th Intern. Conf. on Nonlinear Oscillations, 1, Kiev, 1970, 293-298.
On a singular boundary value problem. J. Math. Anal. Appl. 30 (1970), No. 3, 475-489.
On the existence and uniqueness of solutions of singular boundary value problem. Fasc. Math. (1970), No. 5(74), 5-16.
On a singular boundary value problem for the n-th order ordinary differential equation. (Russian) Dokl. Akad. Nauk SSSR 192 (1970), No. 5, 973-975; English transl.: Sov. Math., Dokl. 11 (1970), 755-757.
Remarks on the asymptotic behaviour of solutions of the equation (with T. A. Chanturia). (Russian) Differentsial’nye Uravneniya 6 (1970), No. 6, 115-117; English transl.: Differ. Equations 6 (1970), 855-857.
On a boundary value problem for a system of two differential equations. (Russian) Proc. Tbilisi Univ. 1(137) A (1971), 77-87.
On a boundary value problem for the system of ordinary differential equations (with M. A. Kakabadze). (Russian) Differentsial’nye Uravneniya 7 (1971), No. 9, 1611-1616; English transl.: Differ. Equations 7 (1971), 1225-1229.
On periodic solutions of the system of ordinary differential equations with singularities. (Russian) Dokl. Akad. Nauk SSSR 198 (1971), No. 2, 286-289; English transl.: Sov. Math., Dokl. 12 (1971), 777-781.
On a singular boundary value problem for an n-th order ordinary differential equation. (Russian) Trudy Inst. Prikl. Mat. Tbiliss. Univ. 3 (1972), 187-206.
Oscillatory solutions for a generalized sublinear second order differential equation (with J. W. Heidel). Proc. Amer. Math. Soc. 38 (1973), No. 1, 80-82.
On oscillation conditions for solutions of nonlinear ordinary differential equations, I. (Russian) Differentsial’nye Uravneniya 10 (1974), No. 8, 1387-1399; English transl.: Differ. Equations 10 (1974), 1073-1082.
On oscillation conditions for solutions of nonlinear ordinary differential equations, II. (Russian) Differentsial’nye Uravneniya 10 (1974), No. 9, 1586-1594; English transl.: Differ. Equations 10 (1974), 1224-1230.
Concerning the solvability of nonlinear two-point boundary value problems (with N. R. Lezhava). (Russian) Mat. Zametki 16 (1974), No. 3, 479-490; English transl.: Math. Notes 16 (1974), 873-880. pdf
Concerning nonoscillatory singular linear second order differential equations (with N. V. Gogiberidze). (Russian) Differentsial’nye Uravneniya 10 (1974), No. 11, 2064-2067; English transl.: Differ. Equations 10 (1974), 1598-1601.
On some nonlinear two-point boundary value problems (with N. R. Lezhava). (Russian) Differentsial’nye Uravneniya 10 (1974), No. 12, 2147-2161; English transl.: Differ. Equations 10 (1974), 1660-1671.
On a singular problem of Cauchy-Nicoletti. Ann. Mat. Pura Appl. 104 (1975), 151-175.
On the modified problem of Cauchy-Nicoletti. Ann. Mat. Pura Appl. 104 (1975), 177-186.
On some boundary value problems for a system of ordinary differential equations (with B. Půža). (Russian) Differentsial’nye Uravneniya 12 (1976), No. 12, 2139-2148; English transl.: Differ. Equations 12 (1976), 1493-1500.
On a nonlinear boundary-value problem (with N. R. Lezhava). Function Theoretic Methods in Diff. Equations. Pitman Publ., London, 1976, 259-276.
On the periodic boundary value problem for the two-dimensional differential system. (Russian) Differentsial’nye Uravneniya 13 (1977), No. 6, 996-1007; English transl.: Differ. Equations 13 (1977), 685-694.
On oscillatory and monotone solutions of ordinary differential equations. Arch. Math. 14 (1978), No. 1, 21-44.
On the solvability of a nonlinear Kneser type problem (with I. Rachůnková). (Russian) Differentsial’nye Uravneniya 15 (1979), No. 10, 1754-1765; English transl.: Differ. Equations 15 (1980), 1248-1256.
On a certain nonlinear problem for two-dimensional differential systems (with I. Rachůnková). Arch. Math. 15 (1980), No. 1, 15-38.
On asymptotic behaviour of solutions of nonlinear non-autonomous ordinary differential equations. Qual. Theory Differ. Equations, V. 1, Amsterdam e.a., 1981, 507-554.
On strongly increasing solutions of nonlinear ordinary differential equations (with G. G. Kvinikadze). Ann. Math. Pura Appl. 130 (1982), 67-87.
On some singular boundary-value problems for ordinary differential equations. Equadiff 5, Proc. 5 Czech. Conf. Differ. Equations and Appl., Teubner Verlagsgesselschaft, Leipzig, 1982, 174-178.
On numerical solution of two-point boundary value problems for second order ordinary differrential equations (with G. S. Tabidze). (Russian) Trudy Inst. Prikl. Mat. im. I. N. Vekua 14 (1983), 69-127.
On vanishing at infinity solutions of ordinary differential equations. Czechoslovak Math. J. 33 (1983), No. 4, 613-646.
On certain boundary-value problems for second-order linear ordinary differential equations with singularities (with A. G. Lomtatidze). J. Math. Anal. Appl. 101 (1984), No. 2, 325-347.
On two-point boundary value problems for systems of nonlinear ordinary differential equations. (Russian) IX Intern. Conf. in Nonlinear Oscillations, 1, Naukova Dumka, Kiev, 1984, 168-173.
On the stability of the set of solutions of nonlinear boundary value problems (with D. G. Bitsadze). (Russian) Differentsial’nye Uravneniya 20 (1984), No. 9, 1495-1501; English transl.: Differ. Equations 20 (1984), 1073-1078.
On the behaviour of solutions of higher order ordinary differential equations in the neighbourhood of a singular point. (Russian) Differentsial’nye Uravneniya 20 (1984), No. 10, 1703-1709; English transl.: Differ. Equations 20 (1984), 1216-1221.
On a multi-point boundary value problem for systems of ordinary differential equations. Trudy Tbiliss. Univ. 259 (1984), 110-121.
On bounded and periodic solutions of linear higher order differential equations. (Russian) Mat. Zametki 37 (1985), No. 1, 48-62; English transl.: Math. Notes 37 (1985), 28-36. pdf
On a priori estimates of solutions of nonlinear higher order differential inequalities. (Russian) Differentsial’nye Uravneniya 21 (1985), No. 2, 198-213; English transl.: Differ. Equations 21 (1985), 136-149.
On the solvability of the Vallée-Poussin problem. (Russian) Differentsial’nye Uravneniya 21 (1985), No. 3, 391-398; English transl.: Differ. Equations 21 (1985), 249-255.
On oscillatory properties of a class of differential equations with deviating argument (with D. V. Izjumova). (Russian) Differentsial’nye Uravneniya 21 (1985), No. 4, 588-596; English transl.: Differ. Equations 21 (1985), 384-391.
On periodic solutions of systems of nonautonomous ordinary differential equations. (Russian) Mat. Zametki 39 (1986), No. 4, 562-575; English transl.: Math. Notes 39 (1986), 308-315. pdf
On a boundary value problem with a condition at infinity for higher order ordinary differential equations. (Russian) Trudy Vsesojuznogo Simpoziuma po Diff. Uravnenijam v Chastnykh Proizvodnykh, Tbilis. Univ. Press, Tbilisi, 1986, 91-105.
On some boundary value problems for systems of nonlinear ordinary differential equations. Equadiff 7, Proceedings of the Conference held in Prague, 1989. Teubner Verlagsgessellschaft, Leipzig, 1990, 37-46.
On the Kneser problem for functional differential equations (with D. I. Chichua). (Russian) Differentsial’nye Uravneniya 27 (1991), No. 11, 1879-1892; English transl.: Differ. Equations 27 (1991), No. 11, 1322-1335.
An oscillation criterion for a class of ordinary differential equations. (Russian) Differentsial’nye Uravneniya 28 (1992), No. 2, 207-219; English transl.: Differ. Equations 28 (1992), No. 2, 180-190.
On the two-point boundary value problems for systems of higher order ordinary differential equations with singularities (with G. Tskhovrebadze). Georgian Math. J. 1 (1994), No. 1, 31-45.
On some properties of solutions of second order linear functional differential equations. Georgian Math. J. 1 (1994), No. 5, 487-494.
On asymptotic properties of solutions of third order linear differential equations with deviating arguments. Arch. Math. 30 (1994), No. 1, 59-72.
On some boundary value problems with integral conditions for functional differential equations (with D. Chichua). Georgian Math. J. 2 (1995), No. 2, 165-188.
On proper oscillatory and vanishing at infinity solutions of differential equations with a deviating argument (with D. Chichua). Georgian Math. J. 2 (1995), No. 4, 395-418.
Concerning the uniqueness of solution of the Cauchy problem for functional differential equations (with Z. Sokhadze). (Russian) Differentsial’nye Uravneniya 31 (1995), No. 12, 1977-1988; English transl.: Differ. Equations 31 (1995), No. 12, 1947-1958.
On the singular Cauchy problem for systems of linear ordinary differential equations. (Russian) Differentsial’nye Uravneniya 32 (1996), No. 2, 215-223; English transl.: Differ. Equations 32 (1996), No. 2, 173-180.
On the correctness of Cauchy problem for the linear differential system on an infinite interval. Georgian Math. J. 3 (1996), No. 5, 475-484.
On a certain singular boundary value problem for linear differential equations with deviating arguments (with B. Půža). Czechoslovak Math. J. 47 (1997), No. 2, 233-244.
On boundary value problems for systems of linear functional differential equations (with B.Půža). Czechoslovak Math. J. 47 (1997), No. 2, 341-373.
On the Vallée-Poussin problem for singular differential equations with deviating arguments (with B. Půža). Arch. Math. 33 (1997), No. 1-2, 127-138.
On periodic solutions of systems of linear functional differential equations (with B.Půža). Arch. Math. 33 (1997), No. 3, 197-212.
On the Cauchy problem for singular evolution functional differential equations (with Z. Sokhadze). (Russian) Differentsial’nye Uravneniya 33 (1997), No. 1, 48-59; English transl.: Differ. Equations 33 (1997), No. 1, 47-58.
Conti-Opial type theorems for systems of functional differential equations (with B. Půža). (Russian) Differentsial’nye Uravneniya 33 (1997), No. 2, 185-194; English transl.: Differ. Equations 33 (1997), No. 2, 184-193.
On singular functional differential inequalities (with Z. Sokhadze). Georgian Math. J. 4 (1997), No. 3, 259-278.
On global solvability of the Cauchy problem for singular functional differential equations (with Z. Sokhadze). Georgian Math. J. 4 (1997), No. 4, 355-372.
On systems of ordinary differential equations and differential inequalities with multi-point boundary conditions. (Russian) Differentsial’nye Uravneniya 33 (1997), No. 5, 646-652; English transl.: Differ. Equations 33 (1997), No. 5, 649-655.
On boundary value problems for functional differential equations (with B. Půža). Mem. Differential Equations Math. Phys. 12 (1997), 106-113. pdf
On the solvability of nonlinear boundary value problems for functional differential equations (with B. Půža). Georgian Math. J. 5 (1998), No. 3, 251-262.
On existence of proper oscillatory solutions of advanced differential equations (with I. P. Stavroulakis). (Russian) Differentsial’nye Uravneniya 34 (1998), No. 6, 751-757; English transl.: Differ. Equations 34 (1998), No. 6, 748-754.
On the structure of the set of solutions of the weighted Cauchy problem for evolution singular functional differential equations (with Z. Sokhadze). Fasc. Math., 1998, No. 28, 71-92.
On vanishing at infinity solutions of second order linear differential equations with advanced arguments (with Z. Došlá). Funkcial. Ekvac. 41 (1998), No.2, 189-205.
On the oscillation of solutions of higher order Emden-Fowler advanced differential equations (with I. P. Stavroulakis). Appl. Anal. 70 (1998), No. 1-2, 97-112.
On periodic solutions of nonlinear functional differential equations (with B. Půža). Georgian Math. J. 6 (1999), No. 1, 47-66.
On periodic solutions of higher order nonautonomous ordinary differential equations (with T. Kusano). Differentsial’nye Uravneniya 35 (1999), No. 1, 72-78; English transl.: Differ. Equations 35 (1999), No. 1, 71-77.
On boundedness and stability of solutions of second order linear differential equations with advanced arguments (with Z. Došlá). Adv. Math. Sci. Appl. 9 (1999), No. 1, 1-24.
On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments (with N. Partsvania). E. J. Qualitative Theory of Diff. Equ., 1999, No. 5, 1-22.
On periodic solutions of nth order ordinary differential equations. Nonlinear Anal. 40 (2000), No. 1-8, 309-321.
On periodic solutions of systems of differential equations with deviating arguments (with B. Půža). Nonlinear Anal. 42 (2000), No. 2, 229-242. pdf
Upper and lower solutions of boundary value problems for functional differential equations and theorems on functional differential inequalities (with R. Hakl and B. Půža). Georgian Math. J. 7 (2000), No. 3, 489-512.
On Kneser solutions of the Emden-Fowler differential equation with a negative exponent. Tr. In-ta matematiki NAN Belarusi 4 (2000), 69-77.
On conditions for the existence and uniqueness of periodic solutions of nonautonomous differrential equations (with T. Kusano). (Russian) Differentsial’nye Uravneniya 36 (2000), No. 10, 1301-1306; English transl.: Differ. Equations 36 (2000), No. 10, 1436-1442.
On blow-up Kneser solutions of higher order nonlinear differential equations. (Russian) Differentsial’nye Uravneniya 37 (2001), No. 6, 735-743; English transl.: Differ. Equations 37 (2001), No. 6, 768-777.
On periodic solutions of even-order ordinary differential equations (with T. Kusano). Ann. Mat. Pura Appl. 180 (2001), No. 3, 285-301.
On singular boundary value problems for functional differential equations of higher order (with B. Půža and I. P. Stavroulakis). Georgian Math. J. 8 (2001), No. 4, 791-814.
On periodic boundary value problem for the equation with one-sided growth restrictions on f (with S. Staněk). Nonlinear Anal. 48 (2002), No. 7, 1065-1075.
On the Kneser problem for two-dimensional differential systems with advanced arguments (with N. Partsvania). J. Inequal. Appl. 7 (2002), No. 4, 453-477. pdf
On oscillatory properties of higher order advanced functional differential equations (with N. Partsvania and I. P. Stavroulakis). (Russian) Differentsial’nye Uravneniya 38 (2002), No. 8, 1030-1041; English transl.: Differ. Equations 38 (2002), No. 8, 1095-1107. pdf_russian, pdf_english
Conti-Opial type existence and uniqueness theorems for nonlinear singular boundary value problems (with B. Půža). Funct. Differ. Equ. 9 (2002), No. 3-4, 405-422.
On boundary value problems for linear differential systems with singularities. (Russian) Differentsial’nye Uravneniya 39 (2003), No. 2, 198-209; English. transl.: Differ Equations 39 (2003), No. 2, 212-225. pdf
Some optimal conditions for the solvability of two-point singular boundary value problems. Funct. Differ. Equ. 10 (2003), No. 1-2, 259-281. pdf
On periodic type solutions of systems of linear ordinary differential equations. Abstr. Appl. Anal. (2004), No. 5, 395-406. pdf
On nonlinear boundary value problems for two-dimensional differential systems (with S. Mukhigulashvili). (Russian) Differentsial’nye Uravneniya 40 (2004), No. 6, 747-755; English transl.: Differ. Equations 40 (2004), No. 6, 797-806. pdf_russian, pdf_english
On multi-point boundary value problems for linear ordinary differential equations with singularities (with R. Agarwal). J. Math. Anal. Appl. 297 (2004), 131-151. pdf
On two-point boundary value problems for higher order singular ordinary differential equations. Mem. Differential Equations Math. Phys. 32 (2004), 101-107. pdf
On periodic solutions of two-dimensional nonautonomous differential systems (with S. Mukhigulashvili). Nonlinear Anal. 60 (2005), No. 2, 241-256. pdf
On two-point boundary value problems for second order singular functional differential equations (with B. Půža). Functional Differential Equations 12 (2005), No. 3-4, 271-294. pdf
On some boundary value problems for fourth order functional differential equations (with B. Půža). Mem. Differential Equations Math. Phys. 35 (2005), 55-64. pdf
On the unique solvability of a periodic boundary value problem for third order linear differential equations (with S. Baslandze). (Russian) Differentsial’nye Uravneniya 42 (2006), No. 2, 153-158; English transl.: Differential Equations 42 (2006), No. 2, 165-171. pdf_russian, pdf_english
Two-point boundary value problems for higher-order linear differential equations with strong singularities (with R. P. Agarwal). Boundary Value Problems 2006, 1-32; Article ID 83910. pdf
On nonlinear boundary value problems for higher order ordinary differential equations. Proceedings of the Conference on Differential & Difference Equations and Applications, Hindawi Publ. Corp., 2006, 529-540. pdf
On a priori estimates of solutions of systems of higher order nonlinear functional-differential inequalities (with N. Partsvania). Georgian Math. J. 14 (2007), No. 3, 445-456.
A priori estimates of solutions of systems of functional differential inequalities, and some of their applications (with Z. Sokhadze). Mem. Differential Equations Math. Phys. 41 (2007), 43-67. pdf
On nonnegative solutions of singular boundary value problems for Emden-Fowler-type differential systems (with M. Cecchi, Z. Dosla, and M. Marini). Differential and Integral Equations 20 (2007), No. 10, 1081-1106. pdf
On solvability of boundary value problems for higher order nonlinear hyperbolic equations (with T. Kiguradze). J. Nonlinear Analysis: Theory, Methods & Applications 69 (2008), 1914-1933. pdf
On a resonance periodic problem for non-autonomous high order differential equations. (Russian) Differentsial’nye Uravneniya 44 (2008), No. 8, 1022-1032; English transl.: Differential Equations 44 (2008), No. 8, 1053-1063. pdf_russian, pdf_english
On solvability conditions for nonlinear operator equations. Mathematical and Computer Modelling 48 (2008), No. 11-12, 1914-1924. pdf
On periodic solutions of higher order functional differential equations (with N. Partsvania and B. Půža). Boundary Value Problems 2008, ID 389028, 18pp. pdf
Beurling-Borg type theorem for two-dimensional linear differential systems. Georgian Math. J. 15 (2008), No. 4, 677-682.
Second-order nonlinear differential equations with infinite set of periodic solutions. Nonlinear Oscillations 11 (2008), No. 4, 521-526. pdf
The Neumann problem for the second order nonlinear ordinary differential equations at resonance. Functional Differential Equations 16 (2009), No. 2. 353-371. pdf
Bounded and vanishing at infinity solutions of nonlinear differential systems. Georgian Math. J. 16 (2009), No. 4, 711-724.
On boundary value problems with conditions at infinity for nonlinear differential systems. Nonlinear Analysis: Theory, Methods & Applications 71 (2009), 1503-1512. pdf
Periodic solutions of nonautonomous ordinary differential equations (with A. Lomtatidze). Monatsh. Math. 159 (2010), No. 3, 235-252. pdf
Optimal conditions of solvability and unsolvability of nonlocal problems for essentially nonlinear differential systems. Comm. Math. Anal. 8 (2010), No. 3, 92-01. pdf
Optimal conditions of solvability of nonlocal problems for second-order ordinary differential equations (with T. Kiguradze). Nonlinear Anal. 74 (2011), No. 3, 757-767. pdf
Conditions for the well-posedness of nonlocal problems for second-order linear differential equations (with T. Kiguradze). (Russian) Differentsial’nye Uravneniya 47 (2011), No. 10, 1400-1411; English transl.: Differ. Equ. 47 (2011), No. 10, 1414-1425. pdf_russian, pdf_english
Conditions for well-posedness of nonlocal problems for higher order linear differential equations with singularities (with T. Kiguradze). Georgian Math. J. 18 (2011), No. 4, 735-760.
Solvability conditions for non-local boundary value problems for two-dimensional half-linear differential systems (with J. Šremr). Nonlinear Anal. 74 (2011), 6537-6552. pdf
The Dirichlet and focal boundary value problems for higher order quasi-half linear singular differential equations. Mem. Differential Equations Math. Phys. 54 (2011), 126-133. pdf
Some multi-point boundary value problems for second order singular differential equations (with A. Lomtatidze and N. Partsvania). Mem. Differential Equations Math. Phys. 56 (2012), 133-141. pdf
On nonlocal problems with nonlinear boundary conditions for singular ordinary differential equations. Mem. Differential Equations Math. Phys. 59 (2013), 113-119. pdf
The Cauchy problem for singular in phase variables nonlinear ordinary differential equations. Georgian Math. J. 20 (2013), No. 4, 707-720.
A priori estimates of solutions of nonlinear boundary value problems for singular in a phase variable second order differential inequalities. Georgian Math. J. 21 (2014), No. 2, 211-224.
Nonlinear nonlocal problems for second order singular in a phase variable differential equations. (Russian) Differentsial’nye Uravneniya 50 (2014), 1018-1034; English transl.: Differ. Equ. 50 (2014), No. 3, 1025-1041. pdf_russian, pdf_english
Positive solutions of periodic type boundary value problems for first order singular functional differential equations (with Z. Sokhadze). Georgian Math. J. 21 (2014), No. 3, 303-311.
A priori estimates of solutions of nonlinear boundary value problems for singular in phase variables higher order differential inequalities and systems of differential inequalities. Mem. Differential Equations Math. Phys. 63 (2014), 105-121. pdf
On nonlinear boundary value problems for higher order functional differential equations (with Z. Sokhadze). Georgian Math. J. 23 (2016), No. 4, 537-550.
On a boundary value problem on an infinite interval for nonlinear functional differential equations (with Z. Sokhadze). Georgian Math. J. 24 (2017), No. 2, 217-225.
Analog of the first Fredholm theorem for higher-order nonlinear differential equations (with T. Kiguradze). (Russian) Differ. Uravn. 53 (2017), no. 8, 1024-1032; English translation: Differ. Equ. 53 (2017), no. 8, 996-1004.
Oscillation properties of higher-order sublinear differential equations (with T. I. Kiguradze). (Russian) Differ. Uravn. 54 (2018), no. 12, 1589-1603; translation in Differ. Equ. 54 (2018), no. 12, 1545-1559.
Some optimal conditions for the solvability and unique solvability of the two-point Neumann problem (with N. Partsvania). Mem. Differ. Equ. Math. Phys. 75 (2018), 115-128. pdf
Two-point boundary value problems for essentially singular second-order linear differential equations. (Russian) Differ. Uravn. 55 (2019), no. 5, 607-624; translation in Differ. Equ. 55 (2019), no. 5, 591-608.
Two-point boundary value problems for essentially singular nonlinear second-order differential equations. (Russian) Differ. Uravn. 55 (2019), no. 6, 792-802; translation in Differ. Equ. 55 (2019), no. 6, 776-786.
On one Neumann type problem for second order linear differential equations. Trans. A. Razmadze Math. Inst. 174 (2020), no. 3, 413-417. pdf
On the unique solvability of two-point boundary value problems for third order linear differential equations with singularities. Trans. A. Razmadze Math. Inst. 175 (2021), no. 3, 375-390. pdf
The Cauchy weighted problem for singular in time and phase variables higher order delay differential equations (with N. Partsvania). Mem. Differ. Equ. Math. Phys. 87 (2022), 63-76. pdf
On the set of solutions of the Cauchy problem for higher order non-Lipshitzian ordinary differential equations. Reports of QUALITDE 1 (2022), 121-124. pdf
Rapidly growing and blow-up solutions to higher order nonlinear delay ordinary differential equations (with N. Partsvania). Mem. Differ. Equ. Math. Phys. 90 (2023), 39-54. pdf
Blow-up solutions of the Cauchy problem for nonlinear delay ordinary differential equations. Reports of QUALITDE 2 (2023), 91-95. pdf