Weighted pseudo-almost periodic solutions of a class of abstract differential equations |
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Authors: | Liuwei Zhang Yuantong Xu |
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Institution: | Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, PR China |
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Abstract: | For abstract linear functional differential equations with a weighted pseudo-almost periodic forcing term, we prove that the existence of a bounded solution on R+ implies the existence of a weighted pseudo-almost periodic solution. Our results extend the classical theorem due to Massera on the existence of periodic solutions for linear periodic ordinary differential equations. To illustrate the results, we consider the Lotka-Volterra model with diffusion. |
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Keywords: | Weighted pseudo-almost periodicity Hille-Yosida condition Integral solution Spectral analysis Partial functional differential equations |
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