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Grazing in Impulsive Differential Equations
2017Discontinuous 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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Ulam’s Type Stability of Impulsive Ordinary Differential Equations
Journal of Mathematical Analysis and Applications, 2012Yong Zhou, Jinrong Wang, Michal Fec˘Kan
exaly
On the Concept and Existence of Solution for Impulsive Fractional Differential Equations
Communications in Nonlinear Science and Numerical Simulation, 2012Yong Zhou, Jinrong Wang, Michal Fec˘Kan
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The Existence of Mild Solutions for Impulsive Fractional Partial Differential Equations
Nonlinear Analysis: Theory, Methods & Applications, 2011Yongzeng Lai, Yuming Chen, Xiao-Bao Shu
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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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