The existence of subharmonic solutions with prescribed minimal period for forced pendulum equations with impulses |
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| Authors: | Huiwen Chen Jianli Li Zhimin He |
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| Institution: | 1. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China;2. Department of Mathematics, Central South University, Changsha, Hunan 410083, China |
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| Abstract: | In this paper, we study the existence of subharmonic solutions with prescribed minimal period for forced pendulum equations with impulses via variational methods and critical point theory. We give new sufficient conditions for the existence of subharmonic solutions with prescribed minimal period of forced pendulum equations. Our results improve some known results in the literature. |
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| Keywords: | The pendulum equation Variational methods Subharmonic solutions Prescribed minimal period |
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