Periodic solutions of singular second order equations at resonance |
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| Authors: | Yin Yin Wu Ding Bian Qian |
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| Institution: | 1. School of Mathematical Sciences, Soochow University, Suzhou 215006, P. R. China;
2. Department of Fondamental Courses, Wuxi Institute of Technology, Wuxi 214121, P. R. China;
3. School of Mathematical Sciences, Soochow University, Suzhou 215006, P. R. China |
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| Abstract: | In this paper, we study the existence of positive periodic solutions for singular second order equations x" + n2/4x+h(x) = p(t), where h has a singularity at the origin and n is a positive integer. We give an explicit condition to ensure the existence of positive periodic solutions when h is an unbounded perturbation at infinity by using qualitative analysis and topological degree theory. |
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| Keywords: | Second order equations singularity periodic solutions resonance unbounded perturbations |
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