MULTIPLE SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEMS FOR FIRST-ORDER DIFFERENCE EQUATIONS

被引：5

作者：

Wang, Da-Bin ^{[1
]}

机构：

[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2008年 / 78卷 / 01期

关键词：

periodic boundary value problem; positive solution; fixed point theorem; difference equation; cone;

D O I：

10.1017/S0004972708000208

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, existence criteria for multiple solutions of periodic boundary value problems for the firstorder difference equation {Delta x(k) = f(k, x(k + 1)), k is an element of[0, T], x(0) = x(T + 1), are established by using the Leggett-Williams multiple fixed point theorem and fixed point theorem of cone expansion and compression. Two examples are also given to illustrate the main results.

引用

页码：1 / 11

页数：11

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