Unbounded Solutions of Almost Periodically Forced Pendulum-Type Equations |
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| Authors: | Hai Huang |
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| Institution: | (1) Institute of Mathematical Sciences, Peking University, Beijing 100871, P. R. China, E-mail: hhjq@pku.edu.cn, CN |
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| Abstract: | In this paper, we prove that the forced pendulum-type equation , where with 1-periodicity in x satisfies the conditions: and , possesses infinitely many unbounded solutions on a cylinder S
1×R for any almost periodic function p(t) with nonvanishing mean value.
Received October 7, 1997, Accepted June 9, 1999 |
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| Keywords: | Pendulum-type equation Instability Unbounded solution Almost periodic |
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