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

被引：7

作者：

Baltaeva, Umida ^{[1
]}

机构：

[1] Urgench State Univ, Dept Appl Math & Math Phys, Urgench, Uzbekistan

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

loaded equation; equations of mixed type; Tricomi problem; Bessel's functions;

D O I：

10.1186/s13661-014-0211-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1 / 12

页数：12

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