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Existence of Solutions for a Four-p oint Boundary Value Problem with a p(t)-Laplacian
Authors:Li Yuan-xiao  Gao Wen-jie  Song Wen-jing
Institution:1. College of Science, Henan University of Technology, Zhengzhou, 450001
2. Institute of Mathematics, Jilin University, Changchun, 130012
3. Institute of Applied Mathematics, Jilin University of Finance and Economics, Changchun, 130017
Abstract: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.
Keywords:p(t)-Laplacian  four-point boundary condition  fixed point theorem  Leray-Schauder degree method
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