Existence of Solutions for a Four-point Boundary Value Problem with a p(t)-Laplacian

This paper deals with the existence of solutions to the p(t)-Laplacian equation with four-point boundary conditions. It is shown, by Leray-Schauder fixed point theorem and degree method, that under suitable conditions, solutions of the problem exist. The interesting point is that p(t) is a general f...

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Veröffentlicht in:数学研究通讯:英文版 2015, Vol.31 (1), p.23-30
1. Verfasser: LI YUAN-XIAO GAO WEN-JIE SONG WEN-JING
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Sprache:eng
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Zusammenfassung:This paper deals with the existence of solutions to the p(t)-Laplacian equation with four-point boundary conditions. It is shown, by Leray-Schauder fixed point theorem and degree method, that under suitable conditions, solutions of the problem exist. The interesting point is that p(t) is a general function.
ISSN:1674-5647