scholarly journals Maximum Principles and Boundary Value Problems for First-Order Neutral Functional Differential Equations

2009 ◽  
Vol 2009 (1) ◽  
pp. 141959 ◽  
Author(s):  
Alexander Domoshnitsky ◽  
Abraham Maghakyan ◽  
Roman Shklyar
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Maximum Principles ◽  
Neutral Functional Differential Equations ◽  
First Order ◽  
Functional Differential

scholarly journals Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces

2006 ◽  
Vol 2006 ◽  
pp. 1-16 ◽  
Author(s):  
John R. Graef ◽  
Abdelghani Ouahab
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Infinite Delay ◽  
Boundary Value ◽  
Functional Differential Equations ◽  
Fréchet Spaces ◽  
First Order ◽  
Uniqueness Results ◽  
Functional Differential

A recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas is used to investigate the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite delay. An example to illustrate the results is included.

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