Necessary and Sufficient Conditions for the Solvability of Linear Boundary-Value Problems for the Fredholm Integrodifferential Equations

被引：24

作者：

Dzhumabaev, D. S. ^{[1
]}

机构：

[1] Minist Educ & Sci Kazakhstan Republ, Inst Math & Math Simulat, Alma Ata, Kazakhstan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2015年 / 66卷 / 08期

关键词：

RESTRICTIONS;

D O I：

10.1007/s11253-015-1003-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a method for the investigation and solution of linear boundary-value problems for the Fredholm integrodifferential equations based on the partition of the interval and introduction of additional parameters. Every partition of the interval is associated with a homogeneous Fredholm integral equation of the second kind. The definition of regular partitions is presented. It is shown that the set of regular partitions is nonempty. A criterion for the solvability of the analyzed problem is established and an algorithm for finding its solutions is constructed.

引用

页码：1200 / 1219

页数：20

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