Systems of difference equations associated with boundary value problems for second order systems of ordinary differential equations

被引：44

作者：

Thompson, HB ^{[1
]}

Tisdell, C ^{[1
]}

机构：

[1] Univ Queensland, Dept Math, Ctr Appl Dynam Syst Math Anal & Probabil, Brisbane, Qld 4072, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 248卷 / 02期

关键词：

boundary value problems; systems of difference equations; Brouwer degree; second order systems of ordinary differential equations;

D O I：

10.1006/jmaa.2000.6823

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence results for solutions to boundary value problems for systems of second order difference equations associated with systems of second order ordinary differential equations subject to nonlinear boundary conditions. (C) 2000 Academic Press.

引用

页码：333 / 347

页数：15

共 50 条

[41] SOLVABILITY OF M-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
张福保
ActaMathematicaScientia, 1998, (02) : 221 - 226
[42] BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER, ORDINARY DIFFERENTIAL EQUATIONS INVOLVING A PARAMETER
HARTMAN, P
JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (01) : 194 - &
[43] Solvability of m-point boundary value problems for second order ordinary differential equations
Zhang, FB
ACTA MATHEMATICA SCIENTIA, 1998, 18 (02) : 221 - 226
[44] Positive Solutions to Boundary Value Problems for Second Order Ordinary Differential Equations with Singular Nonlinearities
Ge W.
Mawhin J.
Results in Mathematics, 1998, 34 (1-2) : 108 - 119
[45] Three-point boundary value problems for second-order, ordinary, differential equations
Thompson, HB
Tisdell, C
MATHEMATICAL AND COMPUTER MODELLING, 2001, 34 (3-4) : 311 - 318
[46] Mixed boundary-value problems for singular second-order ordinary differential equations
Yakovlev M.N.
Journal of Mathematical Sciences, 2007, 141 (6) : 1710 - 1722
[47] ON THE GENERAL AND MULTIPOINT BOUNDARY VALUE PROBLEMS FOR LINEAR SYSTEMS OF GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS, LINEAR IMPULSE AND LINEAR DIFFERENCE SYSTEMS
Ashordia, M.
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2005, 36 : 1 - 80
[48] SINGULAR HIGHER ORDER BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS
Kunkel, Curtis
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009,
[49] Boundary value problems for higher order ordinary differential equations with impulses
Cabada, A
Liz, E
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (06) : 775 - 786
[50] Boundary value problems for second order delay differential equations
Li, Longtu
Wang, Zhicheng
Qian, Xiangzheng
Applied Mathematics and Mechanics (English Edition), 1993, 14 (06) : 573 - 580

← 1 2 3 4 5 →