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On the Solvability of Impulsive Differential-Algebraic Equations
Ukrainian Mathematical Journal, 2005Summary: 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.
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Impulsive Differential Equations
2013Let \(\mathbb{R},\, \mathbb{N}\), 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
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Impulsive Differential Equations
1995General 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
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Ulam’s type stability of impulsive ordinary differential equations
Journal of Mathematical Analysis and Applications, 2012Yong Zhou, Jinrong Wang
exaly
The existence of mild solutions for impulsive fractional partial differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2011Yongzeng Lai +2 more
exaly
About the Impulsive Differential Equations
2018There 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.
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Variational approach to impulsive differential equations
Nonlinear Analysis: Real World Applications, 2009Juan J Nieto, Donal O'Regan
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On the concept and existence of solution for impulsive fractional differential equations
Communications in Nonlinear Science and Numerical Simulation, 2012Yong Zhou, Jinrong Wang
exaly

