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    Article

    Bohr–Neugebauer Type Result for a Class of Nondensely Nonautonomous Linear Partial Functional Differential Equations with Infinite Delay

    This work is related to the problem of the existence of almost periodic and almost automorphic integral solutions for some nondensely periodic linear partial functional differential equations with infinite del...

    Abdallah Afoukal, Khalil Ezzinbi in Differential Equations and Dynamical Systems (2023)

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    Article

    Almost periodic and almost automorphic solutions for some nondensely nonautonomous linear periodic partial functional differential equations

    In this work, we establish a new variation of constants formula for nonautonomous linear partial functional differential equations with linear part A satisfying the Hille-Yosida condition on a Banach space and is...

    Abdallah Afoukal, Khalil Ezzinbi, Khalid Hilal in SeMA Journal (2023)

  3. No Access

    Article

    Nonlocal Integro-Differential Equations Without the Assumption of Equicontinuity on the Resolvent Operator in Banach Spaces

    In this work, we study the existence of mild solutions for the nonlocal integro-differential equation $$\begin{aligned} \left\{ \begin{array}{...

    Khalil Ezzinbi, Mohamed Ziat in Differential Equations and Dynamical Systems (2022)

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    Article

    On the Controllability of Some Nonlinear Partial Functional Integrodifferential Equations with Finite Delay in Banach Spaces

    This work concerns the study of the controllability for some nonlinear partial functional integrodifferential equation with finite delay arising in the modelling of materials with memory in Banach spaces. We g...

    Patrice Ndambomve, Khalil Ezzinbi in Differential Equations and Dynamical Systems (2021)

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    Article

    Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations

    The aim of this work is to present new approach to study weighted pseudo almost periodic and automorphic functions using the measure theory. We present a new concept of weighted ergodic functions which is more...

    Khalil Ezzinbi, Hamidou Toure… in Differential Equations and Dynamical Systems (2021)

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    Article

    New Monch–Krasnosel’skii type fixed point theorems applied to solve neutral partial integrodifferential equations without compactness

    In this paper, we show the existence of mild solutions for a class of neutral partial integrodifferential equations with lack of compactness. The results are obtained using noncompact resolvent operators and a...

    Khalil Ezzinbi, Saifeddine Ghnimi… in Journal of Fixed Point Theory and Applicat… (2020)

  7. No Access

    Article

    Existence and Regularity for Some Partial Neutral Functional Integrodifferential Equations with Nondense Domain

    The paper is concerned with the study of some partial neutral functional integrodifferential equations with nondense domain. Using the integrated resolvent operator theory, we derive some results concerning th...

    Khalil Ezzinbi… in Bulletin of the Malaysian Mathematical Sciences Society (2020)

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    Article

    A survey on new methods for partial functional differential equations and applications

    This work is a survey of many papers dealing with new methods to study partial functional differential equations. We propose a new reduction method of the complexity of partial functional differential equation...

    Khalil Ezzinbi in Afrika Matematika (2020)

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    Article

    Delay independent stability for some partial functional differential equations with infinite delay under the light of positivity

    In this work, we deal with the positivity and stability study for some partial functional differential equations with infinite delay and Hille–Yosida operators. We first show the positivity of solutions in a s...

    Khalil Ezzinbi, Soumia Lalaoui Rhali in SeMA Journal (2019)

  10. No Access

    Article

    Existence results for some nonlocal partial integrodifferential equations without compactness or equicontinuity

    In this work, we provide a new approach to address the solvability of a class of partial integrodifferential equations with nonlocal conditions and two linear parts, the first one being the generator of a stro...

    Khalil Ezzinbi, Saifeddine Ghnimi… in Journal of Fixed Point Theory and Applicat… (2019)

  11. No Access

    Article

    Mild solutions for some nonautonomous partial functional differential equations with infinite delay

    The aim of this work is to establish several results on the existence of mild solutionse nondensely nonautonomous partial functional differential equations with infinite delay in Banach spaces. We assume that ...

    Mohamed Alia, Khalil Ezzinbi, Moussa El-Khalil Kpoumiè in Afrika Matematika (2018)

  12. No Access

    Article

    Periodic Solutions for Some Nondensely Nonautonomous Partial Functional Differential Equations in Fading Memory Spaces

    The aim of this work is to study the existence of a periodic solution for some nondensely nonautonomous partial functional differential equations with infinite delay in Banach spaces. We assume that the linear...

    Moussa El-Khalil Kpoumiè, Khalil Ezzinbi… in Differential Equations and Dynamical Syste… (2018)

  13. No Access

    Article

    Measure Theory and Square-Mean Pseudo Almost Periodic and Automorphic Process: Application to Stochastic Evolution Equations

    In this work, we establish a new concept of square-mean pseudo almost periodic and automorphic processes using the measure theory. We use the ...

    Mamadou Abdoul Diop, Khalil Ezzinbi… in Bulletin of the Malaysian Mathematical Sci… (2018)

  14. No Access

    Article

    Existence, Global Continuation and Regularity in the \(\alpha \) -Norm for Some Partial Functional Integrodifferential Equations with Infinite Delay

    The aim of this work, is to study the existence and regularity of mild solutions for a class of abstract partial functional integrodifferential equations with infinite delay under the alpha-norm. We assume tha...

    Boubacar Diao, Khalil Ezzinbi, Mamadou Sy in Differential Equations and Dynamical Systems (2018)

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    Article

    Mild solutions for some partial functional integrodifferential equations with finite delay in Fréchet spaces

    In this work, we study the existence of mild solutions for some partial functional integrodifferential equations with finite delay in a Fréchet spaces. We assume that the linear part has a resolvent operator i...

    Sylvain Koumla, Khalil Ezzinbi, Rachid Bahloul in SeMA Journal (2017)

  16. No Access

    Article

    Composition Theorems of Stepanov \(\mu \) -Pseudo Almost Automorphic Functions and Applications to Nonautonomous Neutral Evolution Equations

    In this work, we present a new composition theorem of \(\mu \) μ ...

    Abdelkarim-Nidal Akdad, Brahim Essebbar… in Differential Equations and Dynamical Syste… (2017)

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    Article

    Dynamics of Solutions and Approximation for Partial Functional Differential Equations with Delay

    This work aims to investigate the existence and uniqueness of almost periodic solution for partial functional differential equations with delay. Here, we assume that the undelayed part is not necessarily dense...

    Abdelhai Elazzouzi, Khalil Ezzinbi in Mediterranean Journal of Mathematics (2016)

  18. No Access

    Article

    Existence, Regularity and Compactness Properties in the \(\alpha \) -Norm for Some Partial Functional Integrodifferential Equations with Finite Delay

    In this work, we study in the \(\alpha \) α ...

    Boubacar Diao, Khalil Ezzinbi, Mamadou Sy in Differential Equations and Dynamical Systems (2016)

  19. No Access

    Article

    Existence results in the \(\alpha \) -norm for neutral partial functional integro-differential equations with infinite delay

    In this paper we propose to study, in the \(\alpha \) α ...

    Boubacar Diao, Khalil Ezzinbi, Mamadou Sy in Afrika Matematika (2016)

  20. No Access

    Article

    Pseudo-almost Periodic and Pseudo-almost Automorphic Solutions to Evolution Equations in Hilbert Spaces

    In this work we prove some existence and uniqueness results for pseudo-almost periodic and pseudo-almost automorphic solutions to a class of semi-linear differential equations in Hilbert spaces using theoretic...

    Mounir Ben Salah, Khalil Ezzinbi, Amor Rebey in Mediterranean Journal of Mathematics (2016)

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