On a Boundary Value Problem For a Fifth Order Partial Integro-Differential Equation

被引：0

作者：

Yuldashev, T. K. ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Tashkent, Uzbekistan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2022年 / 12卷 / 02期

关键词：

nonlocal boundary value problem; fifth order integro-differential equation; degenerate kernel; Fourier series; classical solvability; PARTIAL-DIFFERENTIAL-EQUATIONS; MIXED-TYPE EQUATION; NONLOCAL PROBLEM; INVERSE PROBLEM; SOLVABILITY; EXISTENCE; DECAY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problems of the unique classical solvability and the construction of the solution of a multidimensional boundary value problem for a homogeneous fifth order partial integro-differential equations with a degenerate kernel are studied. The multidimensional Fourier series method, based on the separation of many variables, is used. A system of countable systems of integral equations is derived. Iteration process of solving the problem is constructed. Sufficient coefficient conditions for the unique classical solvability of the boundary value problem are established.

引用

页码：154 / 172

页数：19

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