Successive Iteration and Positive Solutions for Nonlinear m-Point Boundary Value Problems on Time Scales

被引：2

作者：

Sang, Yanbin ^{[1
]}

机构：

[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2009年 / 2009卷

关键词：

EIGENVALUE PROBLEMS; EXISTENCE; EQUATIONS;

D O I：

10.1155/2009/618413

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of positive solutions for a class of m-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type. Without the assumption of the existence of lower and upper solutions, we do not only obtain the existence of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions. Copyright (C) 2009 Yanbin Sang.

引用

页数：13

共 25 条

[1] Multiple positive solutions of singular Dirichlet problems on time scales via variational methods [J].

Agarwal, Ravi P. ;

Otero-Espinar, Victoria ;

Perera, Kanishka ;

Vivero, Dolores R. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (02) :368-381

[2] Existence of multiple positive solutions for second order nonlinear dynamic BVPs by variational methods [J].

Agarwal, Ravi P. ;

Otero-Espinar, Victoria ;

Perera, Kanishka ;

Vivero, Dolores R. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (02) :1263-1274

[3]

Agarwal RP, 2001, NONLINEAR ANAL-THEOR, V44, P527

[4] FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].

AMANN, H .

SIAM REVIEW, 1976, 18 (04) :620-709

[5] Positive solutions for second-order semipositone problems on time scales [J].

Anderson, Douglas R. ;

Wong, Patricia J. Y. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (02) :281-291

[6]

Anderson DR, 2006, DYNAM SYST APPL, V15, P21

[7] Solutions to second-order three-point problems on time scales [J].

Anderson, DR .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (08) :673-688

[8] On Green's functions and positive solutions for boundary value problems on time scales [J].

Atici, FM ;

Guseinov, GS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 141 (1-2) :75-99

[9]

Bohner M., 2003, Advances in Dynamic Equations on Time Scale, DOI DOI 10.1007/978-0-8176-8230-9

[10] Existence results for singular three point boundary value problems on time scales [J].

DaCunha, JJ ;

Davis, JM ;

Singh, PK .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 295 (02) :378-391

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