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

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