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.
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)
