Results 231 to 240 of about 2,362 (264)

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 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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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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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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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

2019
V. Lakshmikantham, S.G. Deo
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Instantaneous Impulsive Differential Equations

2021
JinRong Wang, Shengda Liu, Michal Fečkan   +2 more
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Ulam’s type stability of impulsive ordinary differential equations

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