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.
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页码：1 / 11
页数：11
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