Two homoclinic solutions for a nonperiodic fourth order differential equation with a perturbation |
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| Authors: | Juntao Sun Tsung-fang Wu |
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| Affiliation: | 1. School of Science, Shandong University of Technology, Zibo, 255049, PR China;2. Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan |
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| Abstract: | ![]()
In this paper, we study multiple homoclinic solutions for a class of fourth order differential equations with a perturbation. By establishing a compactness lemma and using variational methods, the existence result of two homoclinic solutions is obtained under some suitable assumptions, but not requiring the periodicity condition. Some recent results are improved and extended. |
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| Keywords: | Fourth order differential equations Homoclinic solutions Mountain pass theorem Variational methods |
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