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
收藏
页码：1 / 14
页数：14
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