ﾞﾉﾒﾉﾈﾀﾃﾉ ﾓﾀﾌﾄﾝﾍﾉﾄﾒﾏ ﾍﾀﾛﾒﾏﾌﾄﾁﾉﾓ ﾍﾖﾓ眤
(i) ﾌﾏﾍﾏﾂﾒﾀﾗﾉﾄﾁﾉ
On some classes of quasilinear equations of mixed type. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 67 (1981), 1-93.
Some classes of hyperbolic equations and equations of mixed type. (Georgian) Metsniereba, Tbilisi, 1992.
(ii) ﾓﾀﾌﾄﾝﾍﾉﾄﾒﾏ ﾓﾔﾀﾔﾉﾄﾁﾉ
A contribution to the theory of boundary value problems for the equations ym+uxx+ uyy = k(x,y)eu in the large. (Russian) Dokl. Akad. Nauk SSSR 167 (1966), 274-277; English transl.: Sov. Math., Dokl. 7 (1966), 364-367.
On the theory of boundary value problems for a class of quasilinear elliptic equations degenerate on the boundary. (Russian) Differentsial地ye Uravneniya 2 (1966), 24-32; German transl: Differ. Equations 2 (1966), 11-15.
Global solution of the Tricomi problem for a class of nonlinear differential equations of mixed type. (Russian) Differentsial地ye Uravneniya 3 (1967), 3-10.
On uniqueness of solution of the Tricomi problem for a class of nonlinear equations. (Russian) Dokl. Akad. Nauk SSSR 190 (1970), 259-262; English transl.: Sov. Math., Dokl. 11 (1970), 65-69.
Some estimates of the magnitude of solutions of nonlinear equations of mixed type. (Russian) Differentsial地ye Uravneniya 6 (1970), 50-55; English. transl.: Differ. Equations 6 (1972), 40-44.
Some estimates for equations of mixed type. (Russian) Differentsial地ye Uravneniya 8 (1972), 17-23; English. transl.: Differ. Equations 8 (1972), 12-16.
The solutions of elliptic equations that are degenerate on the boundary of the domain. (Russian) Differentsial地ye Uravneniya 9 (1973), 18-24; English. transl.: Differ. Equations 9 (1974), 13-17.
The Cauchy problem for a certain quasilinear degenerate equation. (Russian) Differentsial地ye Uravneniya 13 (1977), 29-35.
On the global solvability of the Cauchy problem for a nonlinear equation. (Russian) Soobshch. Akad. Nauk Gruz. SSR 99 (1980), 553-556.
Global solution of the Cauchy problem for a certain quasilinear degenerate hyperbolic equation by method of characteristics. (Russian) Differentsial地ye Uravneniya 17 (1981), 39-45; English. transl.: Differ. Equations 17 (1981), 25-30.
A modified Goursat problem for a degenerate second-order quasilinear hyperbolic equation. (Russian) Differentsial地ye Uravneniya 18 (1982), 285-290; English transl.: Differ. Equations 18 (1982), 230-233.
Problems with initial and characteristic conditions for hyperbolic equations with nonlinear principal parts. (Russian) Differentsial地ye Uravneniya 19 (1983), No. 1, 22-27; English transl.: Differ. Equations 19 (1983), 18-21.
On the Cauchy problem for an equation of surface theory. (Russian) Differentsial地ye Uravneniya i Primenen. 34 (1983), 9-15.
On second order nonlinear equations with complete characteristic systems and characteristic problems for them. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 87 (1987), 45-53.
On the general integral of a class of nonlinear equations and its applications. (Russian) Trudy Tbiliss. Mat. Inst. Razmadze 90 (1988), 68-75.
On the initial Cauchy problem for a quasilinear degenerate hyperbolic equation. (Russian) Proc. A. Razmadze Math. Inst. 100 (1992), 59-65.
Application of the general integral of a nonlinear equation with real characteristics in the investtigation of Cauchy and Darboux problem. (Russian) Proc. A. Razmadze Math. Inst. 105 (1995), 39-45.
To the theory of boundary value problems for hyperbolic type equations and systems (with S. Kharibegashvili). Mem. Differential Equations Math. Phys. 12 (1997), 68-75.
On second order nonlinear equations with rectilinear characteristics. Georgian Math. J. 7 (2000), No. 2, 299-319.
General solutions and initial characteristic problems for second order nonlinear equations with rectilinear characteristics. (Russian) Liet. Mat. Rink. 40 (2000), No. 4, 459-474; English transl.: Lithuanian Math. J. 40 (2000), No. 4, 352-363.
Nonlocal and initial problems for quasilinear nonstrictly hyperbolic equations with general solutions represented by superposition of an arbitrary functions. Georgian Math. J. 10 (2003), No. 4, 687-707.