Criteria for the unique solvability of a linear two-point boundary value problem for systems of integro-differential equations

被引：16

作者：

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

Bakirova, E. A. ^{[1
]}

机构：

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

来源：

DIFFERENTIAL EQUATIONS | 2013年 / 49卷 / 09期

关键词：

Integral Equation; Function System; Linear Boundary; Fredholm Integral Equation; Unique Solvability;

D O I：

10.1134/S0012266113090048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a linear boundary value problem for a Fredholm integro-differential equation, we obtain necessary and sufficient conditions for the unique solvability in terms of a matrix Q (nu) (m) (h) formed on the basis of the matrices of boundary conditions, the differential part, the integral term, and a partition with increment h > 0 of the interval on which the problem is defined.

引用

页码：1087 / 1102

页数：16

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