Multiple positive solutions for boundary value problems of second order delay differential equations with one-dimensional p-Laplacian

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:326

Article

Wang, Youyu ; Zhao, Wenxia ; Ge, Weigao

关键词: multiple positive solutions;    delay differential equations;    boundary value problems;    one-dimensional p-Laplacian;   

DOI  :  10.1016/j.jmaa.2006.03.028

来源: Elsevier

【 摘 要 】

We consider the boundary value problems: (phi(p) (x'(t)))' + q(t) f (t, x (t), x (t - 1), x' (t)) = (0), phi(P)(s) = vertical bar s vertical bar(p-2)s, P > 1, t is an element of (0, 1), subject to some boundary conditions. By using a generalization of the LeggettWilliams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above problems. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free