Degenerate nonlinear boundary-value problems

被引：1

作者：

Boichuk, O. A. ^{[1
]}

Shehda, L. M. ^{[2
]}

机构：

[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine

[2] Shevchenko Kyiv Natl Univ, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2009年 / 61卷 / 09期

关键词：

DIFFERENTIAL-EQUATIONS; SYSTEMS;

D O I：

10.1007/s11253-010-0284-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish necessary and sufficient conditions for the existence of solutions of weakly nonlinear degenerate boundary-value problems for systems of ordinary differential equations with a Noetherian operator in the linear part. We propose a convergent iterative procedure for finding solutions and establish the relationship between necessary and sufficient conditions.

引用

页码：1387 / 1403

页数：17

共 16 条

[1]

[Anonymous], 1988, The Theory of Matrices

[2]

[Anonymous], 1956, Some Problems of the Theory of Nonlinear Oscillations

[3]

Boichuk A. A., 2004, GEN INVERSE OPERATOR

[4]

BOYARINTSEV TE, 1980, REGULAR SINGULAR SYS

[5] CANONICAL-FORMS AND SOLVABLE SINGULAR SYSTEMS OF DIFFERENTIAL-EQUATIONS [J].

CAMPBELL, SL ;

PETZOLD, LR .

SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1983, 4 (04) :517-521

[6]

Chistyakov V. F., 2003, SELECTED CHAPTERS TH

[7]

FAVINI A, 2001, DIFFERENTIAL INTEGRA, V14, P883

[8]

Grebenikov E., 1979, Constructive methods in the analysis of nonlinear systems

[9]

Krasnoselskii M. A., 1968, APPROXIMATE SOLUTION

[10]

LYUSTERNIK LA, 1982, BRIEF COURSE FUNCTIO

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