Periodic solutions for second order equations with time-dependent potential via time map |
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Authors: | Dingbian Qian |
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Affiliation: | Department of Mathematics, Suzhou University, Suzhou 215006, PR China |
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Abstract: | In this paper the approach via time-map is used to investigate the existence of periodic solutions for second order equation with time-dependent potential. Our theorem generalized the results obtained by Ding, Habets, Omari and Zanolin which are for time-independent potential and relate the behavior of the primitive of the nonlinearity with respect to the Fu?ik spectrum of the periodic problem. |
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Keywords: | Periodic solution Time-dependent potential Time-map Continuation method |
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