Existence of asymptotically periodic solutions of partial functional differential equations with state-dependent delay

2019 ◽  
pp. 1-24
Author(s):  
Filipe Andrade ◽  
Claudio Cuevas ◽  
Hernán R. Henríquez
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Partial Functional Differential Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Asymptotically Periodic ◽  
Functional Differential ◽  
Asymptotically Periodic Solutions

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

-ASYMPTOTICALLY PERIODIC SOLUTIONS FOR ABSTRACT EQUATIONS WITH STATE-DEPENDENT DELAY

2018 ◽  
Vol 98 (3) ◽  
pp. 456-464 ◽  
Author(s):  
EDUARDO HERNÁNDEZ ◽  
MICHELLE PIERRI
Keyword(s):  
Population Dynamics ◽  
Differential Equations ◽  
Periodic Solutions ◽  
General Class ◽  
Existence And Uniqueness ◽  
Abstract Differential Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Asymptotically Periodic ◽  
Asymptotically Periodic Solutions

We study the existence and uniqueness of${\mathcal{S}}$-asymptotically periodic solutions for a general class of abstract differential equations with state-dependent delay. Some examples related to problems arising in population dynamics are presented.

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