Existence and multiplicity of periodic solutions for some second order differential systems with p(t)-Laplacian |
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Authors: | Liang Zhang X H Tang |
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Institution: | 1. School of Mathematical Sciences, University of Jinan, Jinan, Shangdong, 250022, P.R. China 2. School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083, P.R. China
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Abstract: | In this paper, we deal with the existence and multiplicity of periodic solutions for the p(t)-Laplacian Hamiltonian system. Some new existence theorems are obtained by using the least action principle and minmax methods in critical point theory, and our results generalize and improve some existence theorems. |
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