✦ LIBER ✦

A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems

✍ Scribed by Zhaocai Hao; Lishan Liu; L. Debnath

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 325 KB
Volume: 16
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(03)80044-7

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✦ Synopsis

This paper studies positive solutions to a class of superlinear (sublinear) fourth-order singular boundary value problems by means of operator approximation theory and fixed point theorems. A necessary and sufficient condition for the existence of C3[0, 1] positive solutions is obtained, which extends and includes some known results. (~) 2003 Elsevier Science Ltd. All rights reserved.

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