Monotone method for the Neumann problem with lower and upper solutions in the reverse order

被引：51

作者：

Cabada, A ^{[1
]}

Habets, P

Lois, S

机构：

[1] Univ Santiago Compostela, Fac Matemat, Dept Anal Matemat, E-15706 Santiago, Spain

[2] Inst Math Pures & Appl, B-1348 Louvain, Belgium

[3] Univ Santiago Compostela, Escola Politecn Super, Lugo 27002, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2001年 / 117卷 / 01期

关键词：

nonlinear boundary value problem; anti-maximum principles;

D O I：

10.1016/S0096-3003(99)00149-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is devoted to the study of the existence and approximation of solutions of the problem u " = f(t, u, u'), u'(a) = u'(b) = 0 in the presence of lower and upper solutions in the reverse order. To this end we prove anti-maximum principles for the nonlinear operator u " + 2k\u'\ + lambdau. (C) 2001 Elsevier Science Inc, All rights reserved.

引用

页码：1 / 14

页数：14

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