A criterion for the solvability of a linear boundary-value problem for a system of the second order

被引：0

作者：

Shovkoplyas T.S. ^{[1
]}

机构：

[1] Kiev University, Kiev

来源：

Ukrainian Mathematical Journal | 2000年 / 52卷 / 6期

关键词：

Linear Differential Equation; Algebraic System; Fundamental Matrix; Inhomogeneous Differential Equation; Generalize Inverse Operator;

D O I：

10.1007/BF02591795

中图分类号：

学科分类号：

摘要：

We obtain necessary and sufficient conditions for the solvability of a two-point boundary-value problem for systems of linear differential equations of the second order in the critical case where the corresponding homogeneous boundary-value problem has nontrivial solutions. We construct the general solution of the considered boundary-value problem. © 2000 Kluwer Academic/Plenum Publishers.

引用

页码：987 / 991

页数：4

共 4 条

[1]

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[2]

Boichuk A.A., Zhuravlev V.F., Samoilenko A.M., Generalized Inverse Operators and Noetherian Boundary-value Problems [in Russian], (1995)

[3]

Voevodin V.V., Kuznetsov Yu. A., Matrices and Calculations [in Russian], (1984)

[4]

Karandzhulov L.I., Impulsive boundary-value problems for weakly nonlinear systems with control, Ukr. Mat. Zh., 51, 7, pp. 910-917, (1999)

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