Existence of solutions of non-autonomous second order functional differential equations with infinite delay

2011 ◽  
Vol 74 (10) ◽  
pp. 3333-3352 ◽  
Author(s):  
Hernán R. Henríquez
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Second Order ◽  
Functional Differential

scholarly journals On second order impulsive functional differential equations in Banach spaces

2002 ◽  
Vol 15 (1) ◽  
pp. 45-52 ◽  
Author(s):  
M. Benchohra ◽  
S. K. Ntouyas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Banach Spaces ◽  
Point Theorem ◽  
Existence Of Solutions ◽  
Functional Differential Equations ◽  
Second Order ◽  
Functional Differential

In this paper, a fixed point theorem due to Schaefer is used to investigate the existence of solutions for second order impulsive functional differential equations in Banach spaces.

scholarly journals EXISTENCE OF SOLUTIONS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS

1999 ◽  
Vol 30 (4) ◽  
pp. 299-309
Author(s):  
K. BALACHANDRAN ◽  
S. MARSHAL ANTHONI
Keyword(s):  
Differential Equations ◽  
Existence Of Solutions ◽  
Mild Solutions ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Neutral Functional Differential Equations ◽  
Cosine Families ◽  
Functional Differential

Sufficient conditions for existence of mild solutions for second order neutral functional differential equations are established by using the theory of strongly continuous cosine families and the Schaefer theorem.

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