Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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Cn-PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF CLASS r IN THE 𝛼-NORM UNDER THE LIGHT OF MEASURE THEORY

  • DJENDODE MBAINADJI (Polytechnic University of Mongo, Faculty of Basic Sciences, Department of Mathematics and Computer Science)
  • Received : 2023.12.08
  • Accepted : 2024.02.06
  • Published : 2024.03.30
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Abstract

In this paper we present many interesting results such as completeness and composition theorems in the 𝛼 norm. Moreover, under some conditions, we establish the existence and uniqueness of Cn-(𝜇, 𝜈) pseudo-almost automorphic solutions of class r in the 𝛼-norm for some partial functional differential equations in Banach space when the delay is distributed. An example is given to illustrate our results.

Keywords

Acknowledgement

The author would like to thank the referees for their careful reading and some constructive comments and valuable suggestions, which are helpful to improve the quality of this paper.

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