Results 161 to 170 of about 4,699 (199)

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
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Difference approximations for impulsive differential equations

Applied Mathematics and Computation, 2001
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Valéry Covachev, Haydar Akça, Ali Fuat Yeniçerioglu   +2 more
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Impulsive fractional partial differential equations

Applied Mathematics and Computation, 2015
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Tian Liang Guo, KanJian Zhang
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Strict Stability of Impulsive Differential Equations

Acta Mathematica Sinica, English Series, 2005
The authors investigate strict stability of differential equations with impulsive effect of the form \[ dx/dt=f(t,x) \text \;{ for } \;t>t_0, t\neq \tau_k, \text{ and } \;x(\tau_k)-x(\tau_k^-)=I_k(x(\tau_k^-)). \] By using a Lyapunov function, the authors get criteria for strict stability of the zero solution of this system, and they show that impulses
Zhang, Yu, Sun, Jitao
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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
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On Existence and Uniqueness of Random Impulsive Differential Equations

Journal of Systems Science and Complexity, 2015
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Shuorui Zhang, Jitao Sun
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Impulsive nonlocal differential equations through differential equations on time scales

Applied Mathematics and Computation, 2011
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Mieczyslaw Cichon, Bianca Satco, Aneta Sikorska-Nowak   +2 more
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Impulsive differential equations

1997
In this chapter we discuss first order impulsive differential equations. Many physical situations are modelled by problems of this kind, for example problems in optimal control theory and problems in threshold theory in Biology. The last ten years or so have seen major developments in the theory of impulsive differential equations.
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Differentiability of solutions of impulsive differential equations with respect to the impulsive perturbations

Nonlinear Analysis: Real World Applications, 2011
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On some impulsive differential equations

Mathematical Sciences Letters, 2012
The existence and uniqueness of solution for the first order impulsive differential equation is established. We show that these results can be applied to second order impulsive differential equation. Examples are given to illustrate our main results.
A. S. Abdel-Rady, A. M. A. El-Sayed, S. Z. Rida, I. Ameen   +3 more
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