Periodic solutions of nonlinear delay equations |
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Authors: | William Layton |
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Institution: | University of Tennessee, Knoxville, Tennessee, USA |
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Abstract: | Existence and uniqueness of 2π-periodic solutions of , where x(t) is in n and e(t, u, v) is a given vector function, 2π-periodic in t, are shown under conditions on the spectrum of the Hessian of G. The equation is studied using a fixed point theorem in the space L2(0, 2π). One feature of this approach is that no relationship between the delay and the period is necessary. |
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Keywords: | |
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