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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
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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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...
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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
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
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 ...