Global existence and stability for functional evolution equations with state-dependent delay

2016 ◽  
Vol 111 (1) ◽  
pp. 15-24
Author(s):  
Eman Alaidarous ◽  
Wafaa Albarakati ◽  
Abdessalam Baliki ◽  
Mouffak Benchohra
Keyword(s):  
Global Existence ◽  
Evolution Equations ◽  
Functional Evolution ◽  
State Dependent ◽  
State Dependent Delay ◽  
Existence And Stability

scholarly journals Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay

2014 ◽  
Vol 1 (1) ◽  
Author(s):  
Abdessalam Baliki ◽  
Mouffak Benchohra
Keyword(s):  
Banach Space ◽  
Global Existence ◽  
Evolution Equations ◽  
Mild Solutions ◽  
Functional Evolution ◽  
State Dependent ◽  
State Dependent Delay ◽  
Existence And Stability ◽  
Semilinear Evolution Equations

AbstractIn this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.

scholarly journals GLOBAL EXISTENCE RESULTS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY

2014 ◽  
Vol 19 (4) ◽  
pp. 524-536 ◽  
Author(s):  
Mouffak Benchohra ◽  
Johnny Henderson ◽  
Imene Medjadj
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Global Existence ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Existence Results ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential ◽  
Functional Differential Inclusions

Our aim in this work is to study the existence of solutions of a functional differential inclusion with state-dependent delay. We use the Bohnenblust–Karlin fixed point theorem for the existence of solutions.

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