EXISTENCE AND MULTIPLICITY RESULTS FOR NONLINEAR SECOND ORDER DIFFERENCE EQUATIONS WITH DIRICHLET BOUNDARY CONDITIONS

被引：0

作者：

Bereanu, Cristian ^{[1
]}

Mawhin, Jean ^{[1
]}

机构：

[1] Catholic Univ Louvain, Dept Math, B-1348 Louvain La Neuve, Belgium

来源：

MATHEMATICA BOHEMICA | 2006年 / 131卷 / 02期

关键词：

nonlinear difference equations; Ambrosetti-Prodi problem; Brouwer degree;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use Brouwer degree to prove existence and multiplicity results for the solutions of some nonlinear second order difference equations with Dirichlet boundary conditions. We obtain in particular upper and lower solutions theorems, Ambrosetti-Prodi type results, and sharp existence conditions for nonlinearities which are bounded from below or from above.

引用

页码：145 / 160

页数：16

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