Weighted Pseudo Almost-Periodic Functions and Applications to Semilinear Evolution Equations

Jun Zhang, Ti-Jun Xiao and Jin Liang

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

Abstract:

We first give a solution to a key problem concerning the completeness of the space of weighted pseudo almost-periodic functions and then establish a new composition theorem with respect to these functions. Some important remarks with concrete examples are also presented. Moreover, we prove an existence theorem for the weighted pseudo almost-periodic mild solution to the semilinear evolution equation: , , where is the infinitesimal generator of an exponentially stable -semigroup. An application is also given to illustrate the abstract existence theorem.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:179525

DOI: 10.1155/2012/179525

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