33 Result(s)
within
English
Mathematics
Mathematics, general
Khalil Ezzinbi
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Article
Non-linear Semigroup of a Class of Abstract Semilinear Functional Differential Equations with a Non-Dense Domain
In this work, we are concerned with a general class of abstract semilinear autonomous functional differential equations with a non-dense domain on a Banach space. Our objective is to study, using the Crandall-...
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Article
Existence and stability in the α-norm for partial functional differential equations of neutral type
In this work, we study a general class of partial neutral functional differential equations. We assume that the linear part generates an analytic semigroup and the nonlinear part is Lipschitz continuous with r...
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Article
Existence Results for Semilinear Perturbed Functional Differential Equations of Neutral Type with Infinite Delay
In this paper, by using semigroup theory and a nonlinear alternative for the sum of a completely continuous and a contraction operator, we establish sufficient conditions for the existence of solutions for per...
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Article
Existence and controllability results for some impulsive partial functional differential inclusion
In this work, we prove the existence of mild and extremal mild solutions for first-order semilinear non densely defined impulsive functional differential inclusions in separable Banach spaces with local and no...
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Article
An existence result for impulsive functional differential equations with variable times
In this work, a Schaefer fixed-point theorem is used to investigate the existence of solutions for first order impulsive functional differential with variable times.
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Article
Pseudo almost periodic solutions of class r for neutral partial functional differential equations
The aim of this work is to investigate the existence and uniqueness of pseudo almost periodic solutions of class r for some neutral partial functional differential equations in a Banach space when the delay is di...
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Article
Mild solution of neutral stochastic partial functional integrodifferential equations with non-Lipschitz coefficients
The article presents the results on existence and uniqueness of mild solutions to some neutral stochastic partial differential equations under Carathéodory-type conditions. The results are obtained by using th...
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Article
Periodic solutions in the α-norm for some neutral partial functional differential equations with finite delay
The aim of this work is to study the existence of periodic solutions in the α-norm for some partial differential equations of neutral type with finite delay. We assume that the linear part is densely defined and ...
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Article
Pseudo almost automorphic solutions of class r for some partial functional differential equations
The aim of this work is to investigate the existence and uniqueness of pseudo almost automorphic solutions for some neutral partial functional differential equations in a Banach space when the delay is distrib...
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Article
Positivity and Stability for Nondensely Defined Partial Neutral Functional Differential Equations
In this work, we study the positivity in the context of partial neutral functional differential equations. We suppose that the undelaying part is nondensely defined and satisfies the Hille–Yosida condition. We...
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Article
Measure theory and \(S^{2}\) -pseudo almost periodic and automorphic process: application to stochastic evolution equations
In this work, we use the measure theory to define and to study the spaces of Stepanov-like \(\mu \) ...
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Article
Existence results in the \(\alpha \) -norm for a class of neutral partial functional Integro-differential equations
The goal of this paper is to study, in the \(\alpha \) α ...
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Article
Existence and stability results for a partial impulsive stochastic integro-differential equation with infinite delay
This article presents the result on existence and stability of mild solutions of stochastic partial differential equations with infinite delay in the phase space
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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...
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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 ...
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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 ...
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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...
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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 ...
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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...
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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...
