On the oscillation of Hill's equations under periodic forcing |
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| Authors: | Man Kam Kwong |
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| Affiliation: | a Lucent Technologies Inc., Lisle, IL 60532-3640, USA
b City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong |
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| Abstract: | We use the Floquet theory of the Hill's equation to prove the conjecture that all solutions of the second order forced linear differential equation y″+c(sint)y=cost, are oscillatory on [0,∞) for all c≠0. |
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| Keywords: | Ordinary differential equations Second order Linear Periodic Oscillation |
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