On the global existence of solutions of a functional-differential equation

1975 ◽  
Vol 6 (4) ◽  
pp. 347-351 ◽  
Author(s):  
St. Czerwik
Keyword(s):  
Differential Equation ◽  
Global Existence ◽  
Functional Differential Equation ◽  
Existence Of Solutions ◽  
Global Existence Of Solutions ◽  
Functional Differential

scholarly journals Exact and approximate solutions of delay differential equations with nonlocal history conditions

2005 ◽  
Vol 2005 (2) ◽  
pp. 181-194 ◽  
Author(s):  
S. Agarwal ◽  
D. Bahuguna
Keyword(s):  
Differential Equation ◽  
Global Existence ◽  
Delay Differential Equation ◽  
Delay Differential Equations ◽  
Existence And Uniqueness ◽  
Existence Of Solutions ◽  
Approximate Solutions ◽  
Classical Solutions ◽  
Global Existence Of Solutions ◽  
Delay Differential

We study the exact and approximate solutions of a delay differential equation with various types of nonlocal history conditions. We establish the existence and uniqueness of mild, strong, and classical solutions for a class of such problems using the method of semidiscretization in time. We also establish a result concerning the global existence of solutions. Finally, we consider some examples and discuss their exact and approximate solutions.

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

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mouffak Benchohra ◽  
Imene Medjadj ◽  
Juan J. Nieto ◽  
P. Prakash
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Global Existence ◽  
Differential Equations ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential

Our aim in this work is to study the existence of solutions of a functional differential equation with state-dependent delay. We use Schauder's fixed point theorem to show the existence of solutions.

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