52 Result(s)
within
Khalil Ezzinbi
English
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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 ...
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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...
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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
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
Almost periodicity and almost automorphy for some evolution equations using Favard’s theory in uniformly convex Banach spaces
In this work, we use an approach due to Favard (Acta Math 51:31–81, 1928) to study the existence of weakly almost periodic and almost automorphic solutions for some evolution equation whose linear part generates ...
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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
Open AccessSolvability of some partial functional integrodifferential equations with finite delay and optimal controls in Banach spaces
In this work, we consider the control system governed by some partial functional integrodifferential equations with finite delay in Banach spaces. We assume that the undelayed part admits a resolvent operator ...
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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
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
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 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
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
Sadovskii-Krasnosel’skii type fixed point theorems in Banach spaces with application to evolution equations
In this work, we introduce the concept of a convex-power condensing map** \(T\) ...
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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 and controllability for nondensely defined partial neutral functional differential inclusions
We give sufficient conditions for the existence of integral solutions for a class of neutral functional differential inclusions. The assumptions on the generator are reduced by considering nondensely defined H...
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Chapter and Conference Paper
Existence of Weighted Pseudo Almost Periodic Solutions for some Partial Differential Equations with Delay
In this work, sufficient conditions are derived to get the existence and uniqueness of a weighted pseudo almost periodic solutions for some partial functional differential equations in hyperbolic case. To illu...
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Article
Exponential stability for some stochastic neutral partial functional integrodifferential equations with delays and Poisson jumps
In this work, we study the existence, uniqueness and exponential stability in mean square of mild solutions for some stochastic neutral partial functional integrodifferential equations with delays and Poisson ...
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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
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
Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces
We use a new concept of weighted ergodic function based on the measure theory to investigate the existence and uniqueness of weighted pseudo almost periodic solution for a class of partial functional different...
