Positive solutions of fourth-order boundary value problems with two parameters

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:281

Article

Li, YX

关键词: positive solution;    cone;    fixed point index;   

DOI  :  10.1016/S0022-247X(03)00131-8

来源: Elsevier

【 摘 要 】

In this paper the existence results of positive solutions are obtained for fourth-order boundary value problem u((4)) + betau - alphau = f(t, u), 0 < t < 1, u(0) = u(1) = u(0) = u(1) = 0, where f : [0, 1] x R+ --> R+ is continuous, alpha, beta is an element of R and satisfy beta < 2pi(2), alpha greater than or equal to -beta(2)/4, alpha/pi(4) + beta/pi(2) < 1. (C) 2003 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free