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

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.

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