Affinity Integral Manifolds for Impulsive Differential Equations

1999 ◽  
Vol 18 (3) ◽  
pp. 771-784
Author(s):  
S.I. Kostadinov ◽  
G.T. Stamov
Keyword(s):  
Differential Equations ◽  
Impulsive Differential Equations ◽  
Integral Manifolds

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 Integral manifolds of impulsive differential equations

1992 ◽  
Vol 5 (2) ◽  
pp. 99-109 ◽  
Author(s):  
D. D. Bainov ◽  
S. I. Kostadinov ◽  
N. Van Minh ◽  
N. Hong Thai ◽  
P. P. Zabreiko
Keyword(s):  
Differential Equations ◽  
Linear Part ◽  
Impulsive Differential Equations ◽  
Nonlinear Perturbation ◽  
Right Hand ◽  
Integral Manifolds ◽  
Exponential Trichotomy ◽  
The Right

The present paper is concerned with the existence of integral manifolds of impulsive differential equations as t→+∞. Under the assumption of exponential trichotomy on the linear part of the right-hand side of the equation, it is proved that if the nonlinear perturbation is small enough, then there exist integral manifolds as t→+∞ for the perturbed equations.

Integral manifolds of differential equations with rapidly rotating phase

1969 ◽  
Vol 12 (11) ◽  
pp. 1243-1252 ◽  
Author(s):  
A. S. Gurtovnik ◽  
Yu. I. Neimark
Keyword(s):  
Differential Equations ◽  
Integral Manifolds

scholarly journals Solution of Some Impulsive Differential Equations via Coupled Fixed Point

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 501
Author(s):  
Ahmed Boudaoui ◽  
Khadidja Mebarki ◽  
Wasfi Shatanawi ◽  
Kamaleldin Abodayeh
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
System Of Differential Equations ◽  
Coupled Fixed Points

In this article, we employ the notion of coupled fixed points on a complete b-metric space endowed with a graph to give sufficient conditions to guarantee a solution of system of differential equations with impulse effects. We derive recisely some new coupled fixed point theorems under some conditions and then apply our results to achieve our goal.

scholarly journals Second-order impulsive differential systems with mixed and several delays

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Shyam Sundar Santra ◽  
Apurba Ghosh ◽  
Omar Bazighifan ◽  
Khaled Mohamed Khedher ◽  
Taher A. Nofal
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Impulsive Differential Equations ◽  
Oscillation Theory ◽  
Second Order ◽  
Neutral Delay ◽  
Differential Systems ◽  
Impulsive Differential Systems ◽  
Several Delays ◽  
Necessary And Sufficient

AbstractIn this work, we present new necessary and sufficient conditions for the oscillation of a class of second-order neutral delay impulsive differential equations. Our oscillation results complement, simplify and improve recent results on oscillation theory of this type of nonlinear neutral impulsive differential equations that appear in the literature. An example is provided to illustrate the value of the main results.

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