Continuous dependence on a parameter of the solutions of impulsive differential equations in a Banach space

1993 ◽  
Vol 32 (7) ◽  
pp. 1275-1280 ◽  
Author(s):  
D. D. Bainov ◽  
S. I. Kostadinov ◽  
Nguyen Van Minh ◽  
P. P. Zabreiko
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Continuous Dependence ◽  
Impulsive Differential Equations ◽  
Dependence On A Parameter

CONTINUOUS DEPENDENCE ON A PARAMETER OF THE SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS IN A BANACH SPACE

1993 ◽  
Vol 03 (04) ◽  
pp. 477-483
Author(s):  
D.D. BAINOV ◽  
S.I. KOSTADINOV ◽  
NGUYEN VAN MINH ◽  
P.P. ZABREIKO
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Differential Equations ◽  
Small Parameter ◽  
Continuous Dependence ◽  
Impulsive Differential Equation ◽  
Impulsive Differential Equations ◽  
Right Hand ◽  
Dependence On A Parameter ◽  
The Right

Continuous dependence of the solutions of an impulsive differential equation on a small parameter is proved under the assumption that the right-hand side of the equation and the impulse operators satisfy conditions of Lipschitz type.

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