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Indexed by:Journal Papers

Date of Publication:2015-06-15

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI、Scopus

Volume:261

Page Number:351-359

ISSN No.:0096-3003

Key Words:Positive solution; Nonlinear eigenvalue problem; Strict lower and upper solutions; Leray-Schauder degree; Fixed point index

Abstract:In this paper, we introduce the notion of a strict lower/upper solution to nonlinear Sturm-Liouville boundary value problems. Based on the maximum principles, we establish a result of Leray-Schauder degree on the ordered intervals induced by the pairs of strict lower and upper solutions. Applying the result and the fixed point index theory in cones, we obtain the global existence results of positive solutions for sub-superlinear Sturm-Liouville problems. (C) 2015 Elsevier Inc. All rights reserved.