Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions

被引：43

作者：

Cabada, A ^{[1
]}

Pouso, RL ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15706, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 42卷 / 08期

关键词：

upper and lower solutions; phi-Laplacian; discontinuous ordinary differential equations; monotone method;

D O I：

10.1016/S0362-546X(99)00158-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The φ-Laplacian problem with nonlinear functional boundary conditions and discontinuities in the u' argument is addressed. Results on existence of extremal solutions and on the application of the monotone method over ordinary differential equations are discussed.

引用

页码：1377 / 1396

页数：20

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