| EXISTENCE OF SOLUTIONS TO 2m-ORDER PERIODIC BOUNDARY VALUE PROBLEM |
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| 基金项目： | 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) |
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| 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.
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| 关 键 词： | 2m-order PBVP nontrivial solutions Morse theory |
EXISTENCE OF SOLUTIONS TO 2m-ORDER PERIODIC BOUNDARY VALUE PROBLEM |
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| Institution: | 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) |
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| Abstract: | 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. |
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| Keywords: | 2m-order PBVP nontrivial solutions Morse theory |
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