scholarly journals Global Attractor for Partial Functional Differential Equations with State-Dependent Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Zhimin He ◽  
Bo Du
Keyword(s):  
Differential Equations ◽  
Global Attractor ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Global Attractors ◽  
Partial Functional Differential Equations ◽  
State Dependent ◽  
Classic Theory ◽  
State Dependent Delay ◽  
Functional Differential

This work aims to investigate the existence of global attractors for a class of partial functional differential equations with state-dependent delay. Using the classic theory about global attractors in infinite dimensional dynamical systems, we obtain some sufficient conditions for guaranteeing the existence of a global attractor.

Existence of solutions for some nonautonomous partial functional differential equations with state-dependent delay

SeMA Journal ◽  
2019 ◽  
Vol 77 (2) ◽  
pp. 107-118
Author(s):  
Moussa El-Khalil Kpoumiè ◽  
Abdel Hamid Gamal Nsangou ◽  
Patrice Ndambomve ◽  
Issa Zabsonre ◽  
Salifou Mboutngam
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
Partial Functional Differential Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential

EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

2008 ◽  
Vol 01 (04) ◽  
pp. 449-468 ◽  
Author(s):  
Nadjet Abada ◽  
Ravi P. Agarwal ◽  
Mouffak Benchohra ◽  
Hadda Hammouche
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Existence Results ◽  
Completely Continuous ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential ◽  
Integral Solutions

In this paper, we shall establish sufficient conditions for the existence of integral solutions for some nondensely defined impulsive semilinear functional differential equations with state-dependent delay in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators.

On fractional differential equations with state-dependent delay via Kuratowski measure of noncompactness

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 451-460 ◽  
Author(s):  
Mohammed Belmekki ◽  
Kheira Mekhalfi
Keyword(s):  
Differential Equations ◽  
Measure Of Noncompactness ◽  
Mild Solutions ◽  
Functional Differential Equations ◽  
Kuratowski Measure Of Noncompactness ◽  
State Dependent ◽  
State Dependent Delay ◽  
Liouville Fractional Derivative ◽  
Fractional Differential ◽  
Functional Differential

This paper is devoted to study the existence of mild solutions for semilinear functional differential equations with state-dependent delay involving the Riemann-Liouville fractional derivative in a Banach space and resolvent operator. The arguments are based upon M?nch?s fixed point theoremand the technique of measure of noncompactness.

scholarly journals Nonautonomous partial functional differential equations; existence and regularity

2017 ◽  
Vol 4 (1) ◽  
pp. 108-127 ◽  
Author(s):  
Moussa El-Khalil Kpoumiè ◽  
Khalil Ezzinbi ◽  
David Békollè
Keyword(s):  
Differential Equations ◽  
Linear Part ◽  
Functional Differential Equations ◽  
Local Existence ◽  
Sufficient Conditions ◽  
Reaction Diffusion Equation ◽  
Regularity Of Solutions ◽  
Partial Functional Differential Equations ◽  
Strict Solutions ◽  
Functional Differential

Abstract The aim of this work is to establish several results on the existence and regularity of solutions for some nondensely nonautonomous partial functional differential equations with finite delay in a Banach space. We assume that the linear part is not necessarily densely defined and generates an evolution family under the conditions introduced by N. Tanaka.We show the local existence of the mild solutions which may blow up at the finite time. Secondly,we give sufficient conditions ensuring the existence of the strict solutions. Finally, we consider a reaction diffusion equation with delay to illustrate the obtained results.

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