Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations

Abdelkarim-Nidal Akdad; Khalil Ezzinbi; Lotti Souden

Nonautonomous Dynamical Systems (2015)

  • Volume: 2, Issue: 1, page 12-30, electronic only
  • ISSN: 2353-0626

Abstract

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In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.

How to cite

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Abdelkarim-Nidal Akdad, Khalil Ezzinbi, and Lotti Souden. "Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations." Nonautonomous Dynamical Systems 2.1 (2015): 12-30, electronic only. <http://eudml.org/doc/270854>.

@article{Abdelkarim2015,
abstract = {In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.},
author = {Abdelkarim-Nidal Akdad, Khalil Ezzinbi, Lotti Souden},
journal = {Nonautonomous Dynamical Systems},
keywords = {Neutral equation; semigroup; mild solution; Measure theory; ergodicity; μ-pseudo almost periodic functions; μ-pseudo almost automorphic functions; Sp − μ-pseudo almost periodic functions; Sp − μ-pseudo almost automorphic functions; Banach fixed point theorem; neutral equation; measure theory; -pseudo almost periodic functions; -pseudo almost automorphic functions; -pseudo almost periodic functions; -pseudo almost automorphic functions},
language = {eng},
number = {1},
pages = {12-30, electronic only},
title = {Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations},
url = {http://eudml.org/doc/270854},
volume = {2},
year = {2015},
}

TY - JOUR
AU - Abdelkarim-Nidal Akdad
AU - Khalil Ezzinbi
AU - Lotti Souden
TI - Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations
JO - Nonautonomous Dynamical Systems
PY - 2015
VL - 2
IS - 1
SP - 12
EP - 30, electronic only
AB - In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.
LA - eng
KW - Neutral equation; semigroup; mild solution; Measure theory; ergodicity; μ-pseudo almost periodic functions; μ-pseudo almost automorphic functions; Sp − μ-pseudo almost periodic functions; Sp − μ-pseudo almost automorphic functions; Banach fixed point theorem; neutral equation; measure theory; -pseudo almost periodic functions; -pseudo almost automorphic functions; -pseudo almost periodic functions; -pseudo almost automorphic functions
UR - http://eudml.org/doc/270854
ER -

References

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