Stepanov-like pseudo-almost periodicity and its applications to some nonautonomous differential equations |
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Authors: | Toka Diagana |
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Institution: | Department of Mathematics, Howard University, 2441 6th Street N.W., Washington D.C. 20059, United States |
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Abstract: | The paper revisits the concept of Sp-pseudo-almost periodicity recently introduced by the author. In particular, we study the existence of pseudo-almost periodic solutions to some nonautonomous differential equations in the case when the semilinear forcing term is both continuous and Sp-pseudo-almost periodic for p>1. Applications include the existence of pseudo-almost periodic solutions to the heat equation with a forcing term, which is Sp-pseudo-almost periodic and jointly continuous. |
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Keywords: | 44A35 42A85 42A75 |
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