Solvability of the analogs of the problem Tricomi for the mixed type loaded equations with parabolic-hyperbolic operators

Boundary value problems

Umida Baltaeva¹ 

[1] Department of Applied Mathematics and Mathematics - Physics, Urgench State University, Urgench, Uzbekistan

关键词: loaded equation;    equations of mixed type;    Tricomi problem;    Bessel’s functions;   

DOI  :  10.1186/s13661-014-0211-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper the unique solvability of the analog of the Tricomi problem for the third order loaded differential and integro-differential equations with parabolic-hyperbolic operators is proved. The existence of a solution is proved by the reduction to the integral equations with a shift of the second kind. We obtain necessary and sufficient conditions for the existence of a unique solution.

【 授权许可】

CC BY