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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