Search

Your search keyword '"Fatajou, Samir"' showing total 13 results
Start Over Author "Fatajou, Samir" Search Limiters Full Text
13 results on '"Fatajou, Samir"'

1. Convolutions in µ-pseudo almost periodic and µ-pseudo almost automorphic function spaces and applications to solve Integral equations

Author

Béssémè Fritz Mbounja, Békollè David, Ezzinbi Khalil, Fatajou Samir, and Danga Duplex Elvis Houpa

Subjects
measure theory, µ-ergodic, µ-pseudo almost periodic functions, µ-pseudo almost automorphic functions, integral equations, evolution equations, partial functional differential equations, reaction-diffusion systems, 34c27, 34k14, 35b15, 35k57, 37a30, Mathematics, QA1-939
Abstract

The aim of this work is to give sufficient conditions ensuring that the space PAP(𝕉, X, µ) of µ-pseudo almost periodic functions and the space PAA(𝕉, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ∈ L1(𝕉). These results establish sufficient assumptions on k and the measure µ. As a consequence, we investigate the existence and uniqueness of µ-pseudo almost periodic solutions and µ-pseudo almost automorphic solutions for some abstract integral equations, evolution equations and partial functional differential equations.

Published
2020
Full Text
View/download PDF

2. Eberlein weak almost periodic solutions for a class of integro-differential equations with infinite delay

Author

Ezzinbi Khalil, Fatajou Samir, and Elamrani Fatima Zohra

Subjects
Integro-differential equation, Eberlein weak almost periodic solution, immediately norm continuous C0-semigroup, Mathematics, QA1-939
Abstract

In thiswork,we provide sufficient conditions ensuring the existence and uniqueness of an Eberlein weakly almost periodic solutions for some semilinear integro-differential equations with infinite delay in Banach spaces. For illustration, we provide an example arising in viscoelasticity theory.

Published
2018
Full Text
View/download PDF

4. Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations

Author

Békollè,David, Ezzinbi,Khalil, Fatajou,Samir, Danga,Duplex Elvis Houpa, and Béssémè,Fritz Mbounja

Subjects
evolution families, nonautonomous equations, Measure theory, (µ, ν)-pseudo almost periodic and automorphic functions, neutral systems, (µ, ν)-ergodic
Abstract

In this paper we give sufficient conditions on k ∈ L 1(ℝ) and the positive measures µ, ν such that the doubly-measure pseudo-almost periodic (respectively, doubly-measure pseudo- almost automorphic) function spaces are invariant by the con- volution product ζf = k ∗ f. We provide an appropriate example to illustrate our convolution results. As a conse- quence, we study under Acquistapace-Terreni conditions and exponential dichotomy, the existence and uniqueness of (µ, ν)- pseudo-almost periodic (respectively, (µ, ν)- pseudo-almost automorphic) solutions to some nonautonomous partial evolution equations in Banach spaces like neutral systems.

Published
2021

7. Eberlein weak almost periodic solutions for a class of integro-differential equations with infinite delay.

Author

Elamrani, Fatima Zohra, Ezzinbi, Khalil, and Fatajou, Samir

Subjects
INTEGRO-differential equations, BANACH spaces, MATHEMATICAL models of viscoelasticity, VISCOELASTICITY, DIFFERENTIAL equations
Abstract

In thiswork, we provide sufficient conditions ensuring the existence and uniqueness of an Eberlein weakly almost periodic solutions for some semilinear integro-differential equations with infinite delay in Banach spaces. For illustration, we provide an example arising in viscoelasticity theory. [ABSTRACT FROM AUTHOR]

Published
2018
Full Text
View/download PDF

8. Stable and unstable manifolds for nonlinear partial neutral functional differential equations

Author

Benkhalti, Rachid, Ezzinbi, Khalil, and Fatajou, Samir

Subjects
Applied Mathematics, 34k30, 34K40, 34K20, 34K19, Analysis
Abstract

The aim of this work is to investigate the asymptotic behavior of solutions near hyperbolic equilibria for nonlinear partial neutral functional differential equations. We suppose that the linear part $A$ satisfies the Hille-Yosida condition on a Banach space and is not necessarily densely defined; the delayed part is assumed to be Lipschitz. We show the existence of stable and unstable manifolds near hyperbolic equilibria when the neutral operator is stable and the semigroup generated by the part of $A$ in $\overline{D(A)}$ is compact. Local stable and unstable manifolds are also obtained when the undelayed part is a C$^{1}$ function in a neighborhood of the equilibria.

Published
2010

11. Pseudo Almost Automorphic Solutions for Differential Equations Involving Reflection of the Argument.

Author

Dads, Elhadi Ait, Fatajou, Samir, and Khachimi, Lahcen

Subjects
*AUTOMORPHIC functions, *NUMERICAL solutions to differential equations, *FIXED point theory, *EXISTENCE theorems, *EXPONENTIAL dichotomy, *MATHEMATICAL analysis
Abstract

By means of the fixed point methods and the properties of the pseudo almost automorphic functions, the existence and uniqueness of pseudo almost automorphic solutions are obtained for differential equations involving reflection of the argument. For the nonscalar, case we use the exponential dichotomy properties. [ABSTRACT FROM AUTHOR]

Published
2012
Full Text
View/download PDF

12. WEIGHTED PSEUDO-ALMOST PERIODIC SOLUTIONS FOR SOME NEUTRAL PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS.

Author

EZZINBI, KHALIL, FATAJOU, SAMIR, and N'GUÉREKATA, GASTON M.

Subjects
*FUNCTIONAL equations, *DIFFERENTIAL equations, *PHASE space, *LINEAR operators, *BANACH spaces
Abstract

In this work, we give sufficient conditions for the existence and uniqueness of a weighted pseudo-almost periodic solutions for some neutral partial functional differential equations. Our working tools are based on the variation of constant formula and the spectral decomposition of the phase space. To illustrate our main result, we propose to study the existence and uniqueness of a weighted pseudo-almost periodic solution for some neutral model arising in physical systems. [ABSTRACT FROM AUTHOR]

Published
2010

13. STEPANOV-LIKE ALMOST AUTOMORPHIC SOLUTIONS FOR NONAUTONOMOUS EVOLUTION EQUATIONS.

Author

Fatajou, Samir, Van Minh, Nguyen, N'guérékata, Gaston M., and Pankov, Alexander

Subjects
*AUTOMORPHIC functions, *EVOLUTION equations, *DIFFERENTIAL equations, *FUNCTIONS of bounded variation, *PERIODIC functions
Abstract

We study the convolution of Stepanov-like almost automorphic functions and L¹ functions. Also we consider nonautonomous evolution equations, with a periodic operator coefficient and Stepanov-like almost automorphic forcing, and show that, under certain assumptions, any bounded mild solution is almost automorphic. [ABSTRACT FROM AUTHOR]

Published
2007

Catalog

Books, media, physical & digital resources
See catalog results