Asymptotically Almost Automorphic Solutions to Nonautonomous Semilinear Evolution Equations

H. S. Ding; C. Z. Ye; X. J. Zheng

doi:adjm/1318535331

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2011 Asymptotically Almost Automorphic Solutions to Nonautonomous Semilinear Evolution Equations

H. S. Ding, C. Z. Ye, X. J. Zheng

Afr. Diaspora J. Math. (N.S.) 12(2): 104-112 (2011).

Abstract

This paper is concerned with a class of nonautonomous semilinear evolution equation in a Banach space. We establish an existence theorem about asymptotically almost automorphic mild solution to the addressed evolution equation. An example is given to illustrate our abstract result.

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H. S. Ding. C. Z. Ye. X. J. Zheng. "Asymptotically Almost Automorphic Solutions to Nonautonomous Semilinear Evolution Equations." Afr. Diaspora J. Math. (N.S.) 12 (2) 104 - 112, 2011.