Characteristic exponents of impulsive differential equations in a banach space

1988 ◽  
Vol 27 (6) ◽  
pp. 731-743 ◽  
Author(s):  
P. P. Zabreiko ◽  
D. D. Bainov ◽  
S. I. Kostadinov
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Impulsive Differential Equations ◽  
Characteristic Exponents

scholarly journals Asymptotic equivalence of impulsive differential equations in a Banach space

1990 ◽  
Vol 34 ◽  
pp. 249-257 ◽  
Author(s):  
D. D. Bainov ◽  
S. I. Kostadinov ◽  
A. D. Myshkis
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Impulsive Differential Equations ◽  
Asymptotic Equivalence

scholarly journals Lp-equivalence of a linear and a nonlinear impulsive differential equation in a Banach space

1993 ◽  
Vol 36 (1) ◽  
pp. 17-33 ◽  
Author(s):  
D. D. Bainov ◽  
S. I. Kostadinov ◽  
P. P. Zabreiko
Keyword(s):  
Differential Equation ◽  
Banach Space ◽  
Differential Equations ◽  
Impulsive Differential Equation ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations

In the present paper by means of the Schauder-Tychonoff principle sufficient conditions are obtained for Lp-equivalence of a linear and a nonlinear impulsive differential equations.

scholarly journals Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Hristo Kiskinov ◽  
Andrey Zahariev
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Differential Equations ◽  
Linear Part ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Bounded Solutions ◽  
Fixed Point Principle

We consider nonlinear impulsive differential equations withψ-exponential andψ-ordinary dichotomous linear part in a Banach space. By the help of Banach’s fixed-point principle sufficient conditions are found for the existence ofψ-bounded solutions of these equations onRandR+.

scholarly journals An Alternative Method for the Study of Impulsive Differential Equations of Fractional Orders in a Banach Space

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Asma Bouzaroura ◽  
Saïd Mazouzi
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Nonlocal Condition ◽  
Impulsive Differential Equations ◽  
Fractional Equations ◽  
Contraction Theorem ◽  
Fractional Orders ◽  
Stability Of The Solution

This paper is concerned with the existence, uniqueness, and stability of the solution of some impulsive fractional problem in a Banach space subjected to a nonlocal condition. Meanwhile, we give a new concept of a solution to impulsive fractional equations of multiorders. The derived results are based on Banach's contraction theorem as well as Schaefer's fixed point theorem.

Existence of integral manifolds for impulsive differential equations in a Banach space

1989 ◽  
Vol 28 (7) ◽  
pp. 815-833 ◽  
Author(s):  
D. D. Bainov ◽  
S. I. Kostadinov ◽  
Nguy�� H�ng Th�i ◽  
P. P. Zabreiko
Keyword(s):  
Banach Space ◽  
Differential Equations ◽  
Impulsive Differential Equations ◽  
Integral Manifolds

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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