On first-order discrete boundary value problems

被引：16

作者：

Tisdell, Christopher C. ^{[1
]}

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2006年 / 12卷 / 12期

基金：

澳大利亚研究理事会;

关键词：

existence of solutions; boundary value problems; difference equations; Brouwer degree theory;

D O I：

10.1080/10236190600949790

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article analyzes a nonlinear system of first-order difference equations with periodic and non-periodic boundary conditions. Some sufficient conditions are presented under which: potential solutions to the equations will satisfy certain a priori bounds; and the equations will admit at least one solution. The methods involve new dynamic inequalities and use of Brouwer degree theory. The new results are compared with those featuring in the theory of solutions to boundary value problems for differential equations.

引用

页码：1213 / 1223

页数：11

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