Branching of t-periodic solutions for a certain class of ordinary differential equations * |
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| Authors: | Alan R. Hausrath Raul F. Manasevich |
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| Affiliation: | 1. Department of Mathematics , Boise State University , Boise, ID, 83725, U.S.A.;2. Departamento de Matemáticas, Facultad de Ciencias Fisicas y Matemáticas , Universidad de Chile , Casilla 170, Correo 3, Santiago-Chilē |
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| Abstract: | Sufficient conditions are given for the existence of periodic solutions of the weakly forced ODE X1 = f(x) + F(t, x, λ) where x λ R2, λ is a small parameter in a Banach space and F is T-periodic in its first variable. Some illustrative examples are provided |
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| Keywords: | Periodic Solutions |
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