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...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.展开更多
基金supported by the National Natural Science Foundation of China (10771128)Natural Science Foundation of Shanxi (2008011002-1)+2 种基金Shanxi University Science and Technology Development Project (20101109 20111117)Doctorial Start-up Foundation of Datong University(2010-B-01)
文摘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.
