Periodic Solutions of Second Order Superlinear Singular Dynamical Systems |
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| Authors: | Jifeng Chu Ziheng Zhang |
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| Affiliation: | 1.Department of Mathematics, College of Science,Hohai University,Nanjing,China;2.School of Mathematical Sciences,Beijing Normal University,Beijing,China |
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| Abstract: | We study the existence of periodic solutions of second order superlinear dynamical systems with a singularity of repulsive type. The proof is based on a well-known fixed point theorem for completely continuous operators. We do not need to consider so-called strong force conditions. Recent results in the literature are generalized and significantly improved. |
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