(\mathrm R,\mathcal B)-Multidimensional-almost automorphic functions with applications to integral and partial differential equations

2021/03/18 by Chávez, A., Khalil, K., Kostić, M. +1
#42A75 #43A60 #47D99 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.10467

Abstract

In this paper, we analyze the classes of (\mathrm R,\mathcal B)-multi-almost automorphic functions and asymptotically (\mathrm R,\mathcal B)-multi-almost automorphic functions. We provide plenty valuable applications to the abstract Volterra integrodifferential equations in Banach spaces and partial differential equations.

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