*On the Cauchy problem for one quasilinear equation. (Russian) Differentsial'nye Uravneniya 17(1981), No. 1, 46-49; English transl.: Differ. Equations 17(1981), No. 1, 30-33.
Cauchy and Darboux problems in the large for a class of nonlinear equations. (Russian) Analytical methods in the theory of elliptic equations, Work Collect., Novosibirsk, 1982, 121-128.
On the solvability of the Cauchy problem in the large for some quasilinear hyperbolic equation with parabolic degeneration. (Russian) Soobshch. Akad. Nauk Gruz. SSR 105(1982), No. 2, 257-260.
*Goursat's characteristic problem in the large for a class of quasilinear hyperbolic equations. (Russian) Differentsial'nye Uravneniya 19(1983), No. 1, 30-37; English transl.: Differ. Equations 19(1983), No. 1, 25-31.
On global solvability of an analog of the Goursat problem for a class of quasilinear hyperbolic equations. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 75(1984), 37-45.
*The Darboux problem in the large for a class of quasilinear hyperbolic equations. (Russian) Differentsial'nye Uravneniya 21(1985), No. 1, 46-50; English transl.: Differ. Equations 21(1985), No. 1, 36-40.
On global solvability of initial and characteristic problems for one class of quasilinear hyperbolic equations. Mathematical analysis, Teubner-Texte Math. 79(1985), 150-169.
On the Cauchy problem in the large for a class of quasilinear hyperbolic equations. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 81(1986), 50-54.
Global Goursat characteristic problem for one class of quasilinear hyperbolic equations. Mixed type equations, Teubner-Texte Math. 90(1986), 136-141.
Frankl's problem for the Lavrent'ev-Bitsadze equation in a half-plane. All – union school of young scientists "Functional methods of applied mathematics and mathematical physics", Tashkent, Uzbekistan, 1988, 15-16.
*On some variants of the Frankl's problem for the Lavrent'ev-Bitsadze equation in a half-plane. (Russian) Differentsial'nye Uravneniya 25(1989), No. 9, 1614-1618; English transl.: Differ. Equations 25(1989), No. 9.
On some variants of Frankl's problem for the Lavrent'ev-Bitsadze equation in a half-plane. Topics in mathematical analysis, World Scientific Publishing Co., Ser. Pure Math. 2(1989), 478-500.
An initial-characteristic problem on composite curves for the generalized equation of Mangeron. 10th Conference on Problems and Methods in Mathematical Physics, Chemnitz,Germany, 1993, p. 23.
On the Cauchy and Goursat problems on the composite curves for the generalized Mangeron equation. Reports of Enlarged Sessions of the Seminar of I. Vekua Inst. Appl. Math. 8(1993), No. 1, 38-40.
The global Cauchy problem for quasilinear hyperbolic equations. Geometry, Analysis and Mechanics, World Scientific Publishing Co., 1994, 269-274.
*On a Darboux problem for a third order hyperbolic equation with multiple characteristics. Georgian Math. J. 2(1995), No. 5, 469-490.
The Darboux type problem in a dihedral angle for third order equations of hyperbolic type. Reports of Enlarged Sessions of the Seminar of I. Vekua Inst. Appl. Math. 10(1995), No. 1, 39-42.
*Spatial problem of Darboux type for one model equation of third order. Georgian Math. J. 3(1996), No. 6, 547-564.
The extremum principle for some classes of second order elliptic and parabolic systems. International Conference, "Non-local boundary problem and related matheamatical biology, informatic and physic problem", Nal'chik, Russia, 1996, 30-31.
*Darboux type problem for a third order equation with dominant lower terms. (Russian) Differentsial'nye Uravneniya 32(1996), No. 4, 523-535; English transl.: Differ. Equations 32(1996), No. 4, 524-537.
The first mixed problem for pseudoparabolic equations on a plane. Bull. Georgian Acad. Sci. 154(1996), No. 2, 177-180.
General Darboux type problem for a third order equations with dominated lower terms. Bull. Georgian Acad. Sci. 154(1996), No. 3, 344-347.
The Riemann function for higher order hyperbolic equations. International Symposium on Differential Equations and Mathematical Physics Dedicated to the 90th Birthday Anniversary of Academician I. Vekua, Tbilisi, Georgia, 1997, p. 73.
The General Goursat Type Spatial Problem for the Higher Order Hyperbolic Equation. International Symposium on Problems of Continuum Mechanics, Tbilisi, Georgia, 1997, 131-132.
*Darboux and Goursat type problems in the trihedral angle for hyperbolic type equations of third order. Rend. Semin. Mat. Univ. Padova 98(1997), 107-123.
*On the boundary value problem in a dihedral angle for normally hyperbolic systems of first order. Georgian Math. J. 5(1998), No. 2, 121-138.
*On the boundary value problems for normally hyperbolic systems of first order equations in the space. Rend. Mat. Appl. (7) 18(1998), 497-528.
*A Darboux-type problem in the trihedral angle for a third-order equation of hyperbolic type. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1999, No. 3, 22-30; translation in Russian Math. (Iz. VUZ) 43 (1999), No. 3, 20-28.
Boundary value problems in the plane for higher order hyperbolic (pseudoparabolic) equations in angular and characteristic domains. Workshop in Partial Differential Equations, Institute for Mathematics at the University of Potsdam, Potsdam, Germany, 1999, 17-18.
Nonexistence of positive solutions for some classes of nonlinear elliptic inequalites in RN. Symposium Dedicated to the 110th Birthday Anniversary of Academician N. Muskhelishvili, Tbilisi, Georgia, 2001, p. 13.
*The Goursat problem for second-order hyperbolic systems with nonsplittable principal parts. (Russian) Differentsial'nye Uravneniya 38 (2002), No. 1, 87-92; English transl.: Differ. Equations 38 (2002), No. 1, 93-98.
*The general boundary value problem of the Darboux type in the curvelinear angular domains for the third order equations with dominated lower terms. (Russian) Sibirsk. Mat. Zh. 43(2002), No. 2, 295-313; English transl.: Sibirian Math. J. 43(2002).
*A Darboux-type problem in a dihedral angle for a class of third-order equations. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 2003, No. 5, 9-20; translation in Russian Math. (Iz. VUZ) 47 (2003), No. 5, 7-18 (2004).
*The Riemann function for higher-order hyperbolic equations and systems with dominated lower terms. (Russian) Differentsial'nye Uravneniya 39 (2003), No. 10, 1366-1378; English transl.: Differ. Equations 39 (2003), No. 10, 1440-1453.
*The influence of lower terms on the well-posedness of the formulation of characteristic problems for third-order hyperbolic equations. (Russian) Mat. Zametki 74 (2003), No. 4, 517-528; translation in Math. Notes 74 (2003), No. 3-4, 491-501.
*On Laplace invariants for some classes of linear partial differential equations. (Russian) Differentsial'nye Uravneniya 40 (2004), No. 1, 58-68; English transl.: Differ. Equations 40 (2004), No. 1, 63-74.
On the existence of positive and oscillation solution of differential equations with delayed arguments (with G. Berikelashvili and R. Koplatadze). International School in Physics and Mathematics (ISPM); International School and Workshop "Function Spaces, Integral Transforms and Applications in PDE", August 31—September 5, 2005, Tbilisi, Georgia. Proc. A. Razmadze Math. Inst.139 (2005), p. 85.
Some traits of the creative portrait of Andro Bitsadze (with J. Gvazava and S. Kharibegashvili). Proc. Tbiliss. UIniv., Math. Mekh. Astron. 354 (2005), 128-143.
*On the three-dimensional generalized Goursat problem for a third-order equation, and related general two-dimensional Volterra integral equations of the first kind. (Russian) Differentsial'nye Uravneniya 42 (2006), No. 3, 385-394; English transl.: Differ. Equations 42(2006), No. 4, 524-537.
*Higher-order three-dimensional hyperbolic equations with dominated lower terms (with B. Midodashvili). (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 2006, No. 6, 25-34; translation in Russian Math. (Iz. VUZ) 50 (2006), No. 6, 24-32 (2007).
*On an Approach to the Anylisis of Asymptotic Properties of Solutions of First-Order Ordinary Delay Differential Equations (with G. K. Berikelashvili and R. G. Koplatadze). (Russian) Differentsial'nye Uravneniya 44 (2008), No. 1, 19-38; English transl.: Differ. Equations 44 (2008), No. 1, 19-39.
*On existence and nonexistence of global solutions of Cauchy-Goursat problem for nonlinear wave equations. J. Math. Anal. Appl. 340 (2008), 1033-1045.
*The first Darboux problem for nonlinear wave equations with a nonlinear positive source term (with B. Midodashvili). Nonlinear Anal. 69 (2008), 3005-3015.
*On the Existence and Absence of Global Solutions of the First Darboux Problem for Nonlinear Wave Equations (with G. K. Berikelashvili, B. G. Midodashvili, and S. S. Kharibegashvili). (Russian) Differentsial'nye Uravneniya 44 (2008), No. 3, 359-372; English transl.: Differ. Equations 44 (2008), No. 3, 374-389.
*On the first Darboux problem for nonlinear second order hyperbolic equations (with S. S. Kharibegashvili). (Russian) Mat. Zametki 84 (2008) , No 5, 693-712.
Four-Point Finite Differente Scheme for a Nonlinear Klein-Gordon Equation With an Extremal Source (with G. Berikelashvili, J. Gvazava, S. Kharibegashvili, and B. Midodashvili). The Third Conference on Numerical Analysis and Applications, June 16-20, 2008, Lozenetz, Bulgaria.
Finite Differential Solution of a Nonlinear Klein-Gordon Equation With an Extremal Source (with G. Berikelashvili, S. Kharibegashvili, and B. Midodashvili). Reports of XXII Enlarged Sessions of the Seminar of I. Vekua Inst. Appl. Math. (Tbilisi, Georgia, 2008).
Difference method of solving the Darboux problem for nonlinear Klein-Gordon equation (with G. Berikelashvili, S. Kharibegashvili). International Conference on Modern Problems in Applied Mathematics Dedicated to the 90th Anniversary of the Iv. Javakhishvili Tbilisi State University & 40th Anniversary of the I. Vekua Institute of Applied Mathematics ,7-9 October, 2008, Tbilisi.
Finite-difference method of solving the Darboux problem for nonlinear Klein-Gordon equation (with G. Berikelashvili, S. Kharibegashvili, B. Midodashvili). Mem. Differential Equations Math. Phys. 47 (2009), 123-132.
*The Cauchy-Goursat problem for one-dimensional semilinear wave equations. Communications in Partial Differential Equations 34 (2009), Issue 4, 367-382.
*Finite difference solution of a nonlinear Klein-Gordon equation with an external source (with G. Berikelashvili, B. Midodashvili, S. Kharibegashvili). Math. Comput. 80 (2011), No. 274, 847-862.
The Cauchy problem for one-dimensional wave equations with nonlinear dissipative and damping terms. Proc. A. Razmadze Math. Inst. 155 (2011), 126-130.
*The Cauchy problem for generalized Liouville equation (with S. S. Kharibegashvili). (Russian) Differentsial'nye Uravneniya 47 (2011), No.12, 1741-1753; English transl.: Differ. Equations 47 (2011), No. 12, 13 pp.
*Some properties and applications of the Riemann and Green-Hadamard functions for linear second-order hyperbolic equations (with S. S. Kharibegashvili). (Russian) Differentsial'nye Uravneniya 47 (2011), No. 4, 477-492; English transl.: Differ. Equations 47 (2011), No. 4, 1-17.
*The boundary value problem for wave equations with nonlinear dissipative and source terms (with S. Kharibegashvili). International Journal of Dynamical Systems and Differential Equations (IJDSDE) 3 (2011), No. 3, 328 – 348. DOI: 10.1504/IJDSDE.2011.041879.
*The Darboux first problem for wave equations with nonlinear dissipative term. Nonlinear Differential Equations and Applications (NoDEA), 2012, DOI: 10.1007/s00030-012-072-3.
*The Cauchy-Darboux problem for the one-dimensional wave equation with power nonlinearity (with S. Kharibegashvili). Siberian Math. J. 54 (2013), No. 6, 1120-1136.
*The second Darboux problem for the wave equation with a power-law nonlinearity (with S. Kharibegashvili). Differential Equations 49 (2013), No.12, 1577-1595. Translated from Differntsial’nye Uravneniya 49 (2013), No. 12, 1623-1640
*The Cauchy-Goursat problem for wave equations with nonlinear dissipative term (with S. Kharibegashvili) (Russian). Math. Notes 94 (2013), No. 6, 913-929. Translated from Mat. Zametki 94 (2013), No. 6, 889-907; DOI: 10.4213/mzm5617
*The global Cauchy problem for wave equations with nonlinear damping term. (Russian) Differentsial'nye Uravneniya 50 (2014), No.1, 58-65; English transl.: Differ. Equations 50 (2014), No. 1, 57-65.
Boundary value problem for a wave equation with power nonlinearity in the angular domains (with S. Kharibegashvili). Proc. A. Razmadze Math. Inst. 164 (2014), 116-120.
*Global and blowup solutions of a mixed problem with nonlinear boundary conditions for a one-dimensional semilinear wave equation (with S. Kharibegashvili). Mat. Sb. 205 (2014), no. 4, 121-148; translation in Sb. Math. 205 (2014), no. 4, 573-599.
*The Cauchy problem for one-dimensional wave equations with a nonlinear dissipative term. Eurasian Math. J. 5 (2014), no. 4, 92-112.
*On the Cauchy and Cauchy-Darboux problems for semilinear wave equations (with S. Kharibegashvili). Georgian Math. J. 22 (2015), No. 1, 81-104.
On a Zaremba type problem for nonlinear wave equations in the angular domains (with S. Kharibegashvili). Proc. A. Razmadze Math. Inst. 167 (2015), 130-135.
*The time-periodic problem for weekly nonlinear telegraph equation with oblique derivative in the boundary condition (with S. Kharibegashvili). Differential Equations 51 (2015), No.10, 1369-1386. Translated from Differentsial’nye Uravneniya 51 (2015), No. 10, 1376-1392.
*On solvability of a periodic problem for a nonlinear telegraph equation (with S. Kharibegashvili). Siberian Math. J. 57 (2016), No. 4, 735-743.
*On the solvability of a boundary value problems for nonlinear wave equations in angular domains (with S. S. Kharibegashvili). Differential Equations 52 (2016), No. 5, 644-666. Translated from Differentsial’nye Uravneniya 52 (2016), No. 5, 665-686.
The Cauchy-Darboux problem for wave equations with a nonlinear dissipative term (with S. Kharibegashvili). Mem. Differential Equations Math. Phys. 69 (2016), 53-75.
A short survey of scientific results of academician A. V. Bitsadze (with S. Kharibegashvili. Mem. Differential Equations Math. Phys. 69 (2016), 1-14.
The second Darboux problem for the wave equation with integral nonlinearity (with S. Kharibegashvili. Trans. A. Razmadze Math. Inst. 170 (2016), No. 3, 385-394.
An approximate solution of one class of singular integro-differential equations (with N. Shavlakadze and S. Kharibegashvili). Trans. A. Razmadze Math. Inst. 170 (2016), no. 3, 420-426.
*Approximate and exact solution of a singular integro-differential equation related to contact problem of elasticity theory (with S. Kharibegashvili and N. Shavlakadze). Prikl. Mat. i Mekh. 82 (2018), no. 1, 114-124; translation in J. Appl. Math. Mech. 82 (2018), no. 1, 114-124. ISSN 00328235
*On the solvability of a mixed problem with a nonlinear boundary condition for a one-dimensional semilinear wave equation (with S. Kharibegashvili and N. Shavlakadze). J. Contemp. Math. Anal. 53 (2018), no. 5, 247-259. DOI: 10.3101/S1068362318050011.
*Contact interaction of the plate with a nonlinear elastic stringer (with S. Kharibegashvili and N. Shavlakadze). Izv. Ross. Akad. Nauk, MTT 2 (2019), 101-110; Eng. Transl.: Mechanic of Solids, DOI. 10.1134/S0572329919010033.
The adhesive contact problems in the plane theory of elasticity (with S. Kharibegashvili and N. Shavlakadze). Trans. A. Razmadze Math. Inst. 173 (2019), no. 2, 165-168. ISSN 2346-8092.
*Solvability of a Mixed Problem with Nonlinear Boundary Condition for a One-Dimensional Semilinear Wave Equation (with S. Kharibegashvili). Mat. Zametki 108 (2020), no. 1, 137–152 (in Russian). DOI: 10.1134/S0001434620070123; English transl.: Math. Notes 108 (2020), no. 1, 123–136.
*The contact problem for elastic plate, on the border which is adhered nonlinearly deformable stringer of finite length (with S. Kharibegashvili and N. Shavlakadze). (Russian) Prikl. Mat. i Mech. 84 (2020), no. 5, 640-649. Eng. transl.: J. Appl. Math. Mech. 84 (2020).
On the periodicity of the Riemann function of second order general type linear hyperbolic equations. Reports of QUALITDE 1 (2022), 94-96.
*Mixed problem with a nonlinear boundary condition for a semilinear wave equation. (Russian) Differ. Uravn. 58 (2022), no. 5, 591-606; translation in Differ. Equ. 58 (2022), no. 5, 593-609.
*A new class of exact solutions of von Karman’s equation in the nonlinear theory of gas dynamics. Georgian Math. J. 29 (2022), no. 5, 715-724.
*Solutions of a singular integro-differential equation related to the adhesive contact problems of elasticity theory (with N. Shavlakadze). Georgian Math. J. 29 (2022), no. 2, 285-293; https://doi.org/10.1515/gmj-2021-2126
*On the von Karman’s equation in the nonlinear theory of gaz dynamics. Miskolc Math. Notes (accepted).
*A mixed problem for a class of second-order nonlinear hyperbolic systems with Dirichlet and Poincaré boundary conditions (wuth N. N. Shavlakadze, S. S. Kharibegashvili). Mat. Zametki (accepted).