Results 221 to 230 of about 3,092 (266)

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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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

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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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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Impulsive semilinear functional differential equations

2021
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Benchohra, M., Guedda, M., Kirane, M.
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Impulsive fractional partial differential equations

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Tian Liang, Zhang, KanJian
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Chaos for Differential Equations with Multivalued Impulses

International Journal of Bifurcation and Chaos, 2021
The deterministic chaos in the sense of a positive topological entropy is investigated for differential equations with multivalued impulses. Two definitions of topological entropy are examined for three classes of multivalued maps: [Formula: see text]-valued maps, [Formula: see text]-maps and admissible maps in the sense of Górniewicz.
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Grazing in Impulsive Differential Equations

2017
Discontinuous dynamical systems with grazing solutions are discussed. A variational system around a grazing solution which depends on near solutions is constructed. Orbital stability of grazing cycles is examined by linearization. Small parameter method is extended for analysis of neighborhoods of grazing orbits, and grazing bifurcation of cycles is ...
M. U. Akhmet, A. Kıvılcım
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Impulsive differential equations: Periodic solutions and applications

Automatica, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xiaodi, Bohner, Martin, Wang, Chuan-Kui   +2 more
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Instantaneous Impulsive Differential Equations

2021
JinRong Wang, Shengda Liu, Michal Fečkan   +2 more
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