A monotone method for constructing extremal solutions to second-order periodic boundary value problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:136

Article

Jiang, DQ ; Fan, M ; Wan, AY

关键词: periodic boundary value problem;    existence;    upper and lower solution;    monotone iterative technique;   

DOI  :  10.1016/S0377-0427(00)00610-5

来源: Elsevier

【 摘 要 】

in this paper we describe a constructive method which yields two monotone sequences that converge uniformly to extremal solutions to the periodic boundary value problem u(t) = f(t,u,u ' (t)), t is an element of [0,2 pi], u(0) = u(2 pi), u ' (0) = u ' (2 pi) in the presence of an upper solution beta and a lower solution alpha with beta less than or equal to alpha. (C) 2001 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free