Nontrivial solutions of singular sublinear Sturm-Liouville problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:326

Article

Sun, Jingxian ; Zhang, Guowei

关键词: second-order singular equation;    two-point boundary value problem;    nontrivial solution;    positive solution;   

DOI  :  10.1016/j.jmaa.2006.03.003

来源: Elsevier

【 摘 要 】

The singular sublinear Sturm-Liouville problems [GRAPHICS] are considered under some conditions concerning the first eigenvalues corresponding to the relevant linear operators, where (L phi)(x) = (p(x) phi'(x))' + q(x) phi(x) and h(x) is allowed to be singular at both x = 0 and x = 1. In particular, f is not necessary to be nonnegative. The existence results of nontrivial solutions and positive solutions are given by means of the topological degree theory. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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