Initial-Boundary Value Problem for a Degenerate High Even-Order Partial Differential Equation with the Bessel Operator

被引：0

作者：

Urinov, A. K. ^{[1
,2
]}

Azizov, M. S. ^{[2
]}

机构：

[1] Uzbek Acad Sci, Romanovskii Inst Math, Namangan Reg Dept, Namangan 160136, Uzbekistan

[2] Fergana State Univ, Fergana 150100, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 02期

关键词：

even order partial differential equation; Bessel operator; initial-boundary value problem; spectral method; Green's function; integral equation; existence; uniqueness and stability of the solution; MIXED-TYPE; SOLVABILITY;

D O I：

10.1134/S1995080224600158

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present work, an initial-boundary value problem for a high even order partial differential equation with a Bessel operator is considered and the existence, uniqueness and stability of the solution of the considered problem have been investigated.

引用

页码：864 / 874

页数：11

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