A global solution curve for a class of periodic problems, including the pendulum equation |
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Authors: | Philip Korman |
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Institution: | (1) Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221-0025, USA |
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Abstract: | Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution
structure, for a class of periodically forced pendulum-like equations. Our results apply also to the first order equations.
We also show that by choosing a forcing term, one can produce periodic solutions with any number of Fourier coefficients arbitrarily
prescribed. |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 34C25 |
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