NONLOCAL PROBLEM FOR A SECOND ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATION WITH DEGENERATE KERNEL AND REAL PARAMETERS

被引：1

作者：

Yuldashev, Tursun K. ^{[1
]}

Artykova, Zhyldyz A. ^{[2
]}

Alladustov, Shukhrat U. ^{[3
]}

机构：

[1] Tashkent State Univ Econ, 49,Karimov St, Tashkent 100066, Uzbekistan

[2] Osh State Univ, 331 Lenin St, Osh 714000, Kyrgyzstan

[3] Curtin Univ, GPO POB U1987, Perth, WA 6845, Australia

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2023年 / 49卷 / 02期

关键词：

integro-differential equation; nonlocal problem; degenerate kernel; solvability; regular and irregular values of parameters; BOUNDARY-VALUE PROBLEM; SPECTRAL PARAMETER; EIGENFUNCTIONS;

D O I：

10.30546/2409-4994.2023.49.2.228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The questions of solvability and construction of solutions of a homogeneous nonlocal boundary value problem for a second-order homogeneous Fredholm integro-differential equation with a degenerate kernel and two real parameters are considered. The degenerate kernel method was developed. The features that have arisen in the construction of solutions and are associated with the determination of the integration coefficients are studied. The values of the parameters are calculated for which the solvability of the boundary value problem is established and the corresponding solutions are constructed.

引用

页码：228 / 242

页数：15

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