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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
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
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
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
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
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
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
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
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
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...