Partial Differential Equations and Applications
Colloquium in Honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018
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52 Result(s)
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Khalil Ezzinbi
English
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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...
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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...
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Article
Stepanov ergodic perturbations for nonautonomous evolution equations in Banach spaces
We prove the existence and uniqueness of \(\mu \) μ -pseudo almost automorph...
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Chapter and Conference Paper
Existence of Local and Maximal Mild Solutions for Some Non-autonomous Functional Differential Equation with Finite Delay
This chapter is devoted to the study of the existence results of local and maximal solutions on the one hand and the existence and uniqueness results of mild solutions on the second hand, for the non-autonomou...
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Book and Conference Proceedings
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Chapter and Conference Paper
Existence, Regularity, and Stability in the α-Norm for Some Neutral Partial Functional Differential Equations in Fading Memory Spaces
The aim of this chapter is to study the regularity and the stability in the α-norm for neutral partial functional differential equations in fading memory spaces. We assume that a linear part is densely defined an...
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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}{...
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Article
Dynamics of \(\mu \) -piecewise pseudo almost periodic solutions of neutral-type inertial neural networks models: existence and attractiveness
In this work, we use measure theory to provide new sufficient conditions for the existence, uniqueness and global exponential stability of piecewise pseudo almost periodic solutions of neutral-type inertial ne...
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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...
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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...
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Chapter
Global Attractor in Alpha-Norm for Some Partial Functional Differential Equations of Neutral and Retarded Type
The aim of this work is to study the existence of a global attractor for some partial neutral functional differential equations; the convergence of all the solutions to the attractor is given in terms of the a...
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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...
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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...
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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...
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Article
Almost automorphic solutions for nonautonomous parabolic evolution equations
In this work, we study the existence and uniqueness of almost automorphic solutions for semilinear nonautonomous parabolic evolution equations with inhomogeneous boundary conditions using the exponential dicho...
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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...
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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...
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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 ...
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Article
Necessary Conditions of Optimality for Some Stochastic Integrodifferential Equations of Neutral Type on Hilbert Spaces
In this work, we develop the necessary conditions of optimality for partially observed control problems governed by stochastic integrodifferential equations of neutral type on Hilbert spaces driven by relaxed ...
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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...
