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

作　　者：LI YUAN-XIAO GAO WEN-JIE SONG WEN-JING 

机构地区：[1]College of Science, Henan University of Technology [2]Institute of Mathematics, Jilin University [3]Institute of Applied Mathematics, Jilin University of Finance and Economics

出　　处：《Communications in Mathematical Research》2015年第1期23-30,共8页数学研究通讯（英文版）

基　　金：The NSF(11271154)of China;the Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education;the 985 program of Jilin University;the DR Fund(150152)of Henan University of Technology

摘　　要：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.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.

关 键 词：p（t）-Laplacian four-point boundary condition fixed point theorem Leray-Schauder degree method 

分 类 号：O175.8[理学—数学]