Periodic solutions of nonlinear wave equations with damping |
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Authors: | L. Cesari R. Kannan |
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Affiliation: | 1. Department of Mathematics, University of Michigan, 48109, Ann Arbor, Michigan, USA 2. Department of Mathematics, University of Texas at Arlington, 76019, Arlington, Texas, (USA)
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Abstract: | A known existence theorem for doubly periodic solutions of nonlinear wave equations with linear damping is being proved in a direct manner by an approach which has been developed by the authors in [5, 6, 7] for hyperbolic problems, when the kernel of the underlying linear operator is infinite dimensional. |
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