In the present paper an existence and uniqueness of solution of the nonlo- cal boundary value problem for the third order loaded elliptic-hyperbolic type equa- tion in double-connected domain have been investigated. A...In the present paper an existence and uniqueness of solution of the nonlo- cal boundary value problem for the third order loaded elliptic-hyperbolic type equa- tion in double-connected domain have been investigated. At the proof of unequivocal solvability of the investigated problem, the extremum principle for the mixed type equations and method of integral equations have been used.展开更多
In this work an existence and uniqueness of solution of the non-local boundary value problem for the loaded elliptic-hyperbolic type equation with integral-differential operations in double-connected domain have been ...In this work an existence and uniqueness of solution of the non-local boundary value problem for the loaded elliptic-hyperbolic type equation with integral-differential operations in double-connected domain have been investigated. The uniqueness of solution is proved by the method of integral energy using an extremum principle for the mixed type equations, and the existence is proved by the method of integral equations.展开更多
文摘In the present paper an existence and uniqueness of solution of the nonlo- cal boundary value problem for the third order loaded elliptic-hyperbolic type equa- tion in double-connected domain have been investigated. At the proof of unequivocal solvability of the investigated problem, the extremum principle for the mixed type equations and method of integral equations have been used.
文摘In this work an existence and uniqueness of solution of the non-local boundary value problem for the loaded elliptic-hyperbolic type equation with integral-differential operations in double-connected domain have been investigated. The uniqueness of solution is proved by the method of integral energy using an extremum principle for the mixed type equations, and the existence is proved by the method of integral equations.