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arXiv · 1903.05869

Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents $L^{p(x)}$

Toka Diagana·Marko Kostić
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Abstract

The paper introduces and studies the class of (asymptotically) Stepanov almost automorphic functions with variable exponents. Any function belonging this class needs to be (asymptotically) Stepanov almost automorphic. A few relevant applications to abstract Volterra integro-differential inclusions in Banach spaces is presented.

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BibTeXRIS

Toka Diagana, Marko Kostić. 2019-03-14. Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents $L^{p(x)}$. https://arxiv.org/abs/1903.05869

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