EXISTENCE OF SOLUTIONS TO 2m-ORDER PERIODIC BOUNDARY VALUE PROBLEM  

作　　者：Yaqiong Cui, Shugui Kang (College of Math. and Computer Science, Datong University, Datong 037009, Shanxi, Xiaojing Feng (Dept. of Applied Math., Northwestern Polytechnical University, Xian 710129) 

出　　处：《Annals of Differential Equations》2012年第2期153-156,共4页微分方程年刊（英文版）

基　　金：supported by the National Natural Science Foundation of China (10771128);Natural Science Foundation of Shanxi (2008011002-1);Shanxi University Science and Technology Development Project (20101109; 20111117);Doctorial Start-up Foundation of Datong University(2010-B-01)

摘　　要：In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions.In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions.

关 键 词：2m-order PBVP nontrivial solutions Morse theory 

分 类 号：O175.8[理学—数学]