scholarly journals Existence results for impulsive neutral functional differential equations with state-dependent delay

2009 ◽  
pp. 1-13 ◽  
Author(s):  
Mallika Mallika Arjunan ◽  
Veeraruna Kavitha
Keyword(s):  
Differential Equations ◽  
Functional Differential Equations ◽  
Existence Results ◽  
Neutral Functional Differential Equations ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential

EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

2008 ◽  
Vol 01 (04) ◽  
pp. 449-468 ◽  
Author(s):  
Nadjet Abada ◽  
Ravi P. Agarwal ◽  
Mouffak Benchohra ◽  
Hadda Hammouche
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Existence Results ◽  
Completely Continuous ◽  
State Dependent ◽  
State Dependent Delay ◽  
Functional Differential ◽  
Integral Solutions

In this paper, we shall establish sufficient conditions for the existence of integral solutions for some nondensely defined impulsive semilinear functional differential equations with state-dependent delay in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators.

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