Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay

2006 ◽  
Vol 64 (8) ◽  
pp. 1690-1709 ◽  
Author(s):  
Khalil Ezzinbi ◽  
Aziz Ouhinou
Keyword(s):  
Differential Equations ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Partial Functional Differential Equations ◽  
Functional Differential ◽  
Necessary And Sufficient

scholarly journals Asymptotically power solutions of higher order neutral functional differential equations

2004 ◽  
Vol 35 (4) ◽  
pp. 383-389
Author(s):  
Zhi-Qiang Zhu ◽  
Sui Sun Cheng
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Necessary And Sufficient Conditions ◽  
Neutral Functional Differential Equations ◽  
Polynomial Solutions ◽  
Functional Differential ◽  
Necessary And Sufficient

Necessary and sufficient conditions are derived for the existence of asymptotically polynomial solutions of a class of neutral functional differential equations.

scholarly journals On variational formulations for functional differential equations

2007 ◽  
Vol 5 (1) ◽  
pp. 89-101 ◽  
Author(s):  
I. A. Kolesnikova ◽  
A. M. Popov ◽  
V. M. Savchin
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Variational Principles ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Partial Functional Differential Equations ◽  
Functional Differential ◽  
Necessary And Sufficient ◽  
Variational Formulations

Necessary and sufficient conditions for the existence of integral variational principles for boundary value problems for given ordinary and partial functional differential equations are obtained. Examples are given illustrating the results.

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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