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Necessary and sufficient conditions for the existence of positive solutions of fourth order multi-point boundary value problems

โœ Scribed by Junfang Zhao; Libo Wang; Weigao Ge

Book ID
108216438
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
764 KB
Volume
72
Category
Article
ISSN
0362-546X

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A necessary and sufficient condition for
A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems
โœ Zhaocai Hao; Lishan Liu; L. Debnath ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 325 KB

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 exten