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math.AP2021
-Multidimensional-almost automorphic functions with applications to integral and partial differential equations
A. Chávez, K. Khalil, M. Kostić +1
In this paper, we analyze the classes of -multi-almost automorphic functions and asymptotically -multi-almost automorphic fu…
math.AP2020
On the almost periodicity of nonautonomous evolution equations and application to Lotka-Volterra systems
Kamal Khalil
Consider the nonautonomous semilinear evolution equation of type: where is a family of close…
math.AP2020
Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces
Abdoul Aziz Kalifa Dianda, Khalil Ezzinbi, Kamal Khalil
In this work, we prove the existence and uniqueness of -pseudo almost automorphic solutions for some class of semilinear nonautonomous evolution equations of the form: $ u'(t)=A…
math.AP2019
Compact almost automorphic solutions for semilinear parabolic evolution equations
Brahim Es-sebbar, Khalil Ezzinbi, Kamal Khalil
In this paper, using the subvariant functional method due to Favard \cite{Favard}, we prove the existence of aunique compact almost automorphic solution for a class of semilinear e…