Partial Differential Equations and Applications
Colloquium in Honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018
Article
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...
Article
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...
Article
We prove the existence and uniqueness of \(\mu \) μ -pseudo almost automorph...
Chapter and Conference Paper
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...
Book and Conference Proceedings
Colloquium in Honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018
Chapter and Conference Paper
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...
Article
In this work, we study the existence of mild solutions for the nonlocal integro-differential equation $$\begin{aligned} \left\{ \begin{array}{...
Article
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...
Article
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...
Article
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...
Chapter
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...
Article
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...
Article
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...
Article
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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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...
Article
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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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...
Article
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 ...
Article
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 ...
Article
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...