Positive Solutions for Fourth-order Delay Differential Equation of Boundary Value Problem with p-Laplacian  

作　　者：ZHANG Yu-chuan ZHO U Zong-fu 

机构地区：[1]School of Mathematical Sciences, Anhui University, Hefei 230039, China

出　　处：《Chinese Quarterly Journal of Mathematics》2014年第2期171-179,共9页数学季刊（英文版）

基　　金：Foundation item： Supported by the National Natural Science Foundation of China（10801001）; Supported by the Natural Science Foundation of Anhui Province（1208085MA13, KJ2009A005Z）

摘　　要：In this work, we investigate the following fourth-order delay differential equation of boundary value problem with p-Laplacian（Φp（u000））0（t）＋a（t）f（t, u（t？τ）, u0（t））=0, 0〈t〈1;u000 （0）=u00 （0）=0, u0 （1）=αu0 （η）;u（t）=0, ？τ ≤t≤0. By using Schauder fixed-point theorem, some su？cient conditions are obtained which guar-antee the fourth-order delay differential equation of boundary value problem with p-Laplacian has at least one positive solution. Some corresponding examples are presented to illustrate the application of our main results.

关 键 词：boundary value problem delay positive solution P-LAPLACIAN schauder fixed-point theorem 

分 类 号：O175.8[理学—数学]