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On the Solvability of Impulsive Differential-Algebraic Equations

Ukrainian Mathematical Journal, 2005
Summary: We establish theorems on the existence and uniqueness of a solution of the impulsive differential-algebraic equation. The results are applied to the theory of electric circuits.
Vlasenko, L. A., Perestyuk, N. A.
openaire   +1 more source

Impulsive Differential Equations

2013
Let \(\mathbb{R},\, \mathbb{N}\), and \(\mathbb{Z}\) be the sets of all real numbers, natural numbers, and integers, respectively. Denote by \(\theta =\{\theta _{i}\}\) a strictly increasing sequence of real numbers such that the set \(\mathcal{A}\) of indexes i is an interval in \(\mathbb{Z}.\) The sequence θ is a B−sequence, if one of the following ...
Marat Akhmet, Enes Yılmaz
openaire   +1 more source

Impulsive Differential Equations

1995
General description of impulsive differential systems linear systems stability of solutions periodic and almost periodic impulsive systems integral sets of impulsive systems optimal control in impulsive systems asymptotic study of oscillations in impulsive systems a periodic and almost periodic impulsive system.
A M Samoilenko, N A Perestyuk
openaire   +1 more source

Ulam’s type stability of impulsive ordinary differential equations

Journal of Mathematical Analysis and Applications, 2012
Yong Zhou, Jinrong Wang
exaly  

The existence of mild solutions for impulsive fractional partial differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2011
Yongzeng Lai   +2 more
exaly  

About the Impulsive Differential Equations

2018
There are many processes and phenomena in the real world, which are subjected during their development to the short-term external influences. Their duration is negligible compared with the total duration of the studied phenomena and processes. Therefore, it can be assumed that these external effects are ''instantaneous'', i.e.
openaire   +1 more source

Variational approach to impulsive differential equations

Nonlinear Analysis: Real World Applications, 2009
Juan J Nieto, Donal O'Regan
exaly  

On the concept and existence of solution for impulsive fractional differential equations

Communications in Nonlinear Science and Numerical Simulation, 2012
Yong Zhou, Jinrong Wang
exaly  

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