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

A. Chávez; K. Khalil; M. Kostić; M. Pinto

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

Analysis of PDEs 2021-03-22 v1

Authors: A. Chávez , K. Khalil , M. Kostić , M. Pinto

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.

Keywords

special functions

Cite

@article{arxiv.2103.10467,
  title  = {$({\mathrm R},{\mathcal B})$-Multidimensional-almost automorphic functions with applications to integral and partial differential equations},
  author = {A. Chávez and K. Khalil and M. Kostić and M. Pinto},
  journal= {arXiv preprint arXiv:2103.10467},
  year   = {2021}
}

Comments

31 pages +references

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