scholarly journals Initial Value Problems for the Second Order Mixed Monotone Type of Impulsive Differential Equations in Banach Spaces

2000 ◽  
Vol 247 (2) ◽  
pp. 506-516 ◽  
Author(s):  
Sun Jinli ◽  
Ma Yihai
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Initial Value Problems ◽  
Impulsive Differential Equations ◽  
Second Order ◽  
Initial Value ◽  
Monotone Type

scholarly journals Nonlinear impulsive Volterra integral equations in Banach spaces and applications

1993 ◽  
Vol 6 (1) ◽  
pp. 35-48 ◽  
Author(s):  
Dajun Guo
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Integral Equations ◽  
Initial Value Problems ◽  
Infinite System ◽  
Impulsive Differential Equations ◽  
Volterra Integral Equations ◽  
Initial Value ◽  
First Order ◽  
Maximal Solutions

In this paper, we first extend results on the existence of maximal solutions for nonlinear Volterra integral equations in Banach spaces to impulsive Volterra integral equations. Then, we give some applications to initial value problems for first order impulsive differential equations in Banach spaces. The results are demonstrated by means of an example of an infinite system for impulsive differential equations.

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