Some features of uncontinuable solutions of impulsive dynamical systems.
H. D. Dimov, S. I. Nenov (1996)
Extracta Mathematicae
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Displaying similar documents to “Periodic boundary value problem for nonlinear first order ordinary differential equations with impulses at fixed moments.”
Some features of uncontinuable solutions of impulsive dynamical systems.
Estimates of solutions of impulsive parabolic equations and applications to the population dynamics.
Drumi Bainov, Emil Minchev (1996)
Publicacions Matemàtiques
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A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.
Second order nonlinear differential equations with linear impulse and periodic boundary conditions
Aydin Huseynov (2011)
Applications of Mathematics
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In this study, we establish existence and uniqueness theorems for solutions of second order nonlinear differential equations on a finite interval subject to linear impulse conditions and periodic boundary conditions. The results obtained yield periodic solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis.
Impulsive periodic boundary value problem
Jan Draessler (2004)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In the paper we consider the impulsive periodic boundary value problem with a general linear left hand side. The results are based on the topological degree theorems for the corresponding operator equation on a certain set that is established using properties of strict lower and upper functions of the boundary value problem.
First- and second-order dynamic equations with impulse.
Atici, F.M., Biles, D.C. (2005)
Advances in Difference Equations [electronic only]
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On Semicontinuity in Impulsive Dynamical Systems
Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown...
Multi-type synchronization of impulsive coupled oscillators via topology degree
Yingjie Bi, Zhidan Cai, Shuai Wang (2024)
Applications of Mathematics
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The existence of synchronization is an important issue in complex dynamical networks. In this paper, we study the synchronization of impulsive coupled oscillator networks with the aid of rotating periodic solutions of impulsive system. The type of synchronization is closely related to the rotating matrix, which gives an insight for finding various types of synchronization in a united way. We transform the synchronization of impulsive coupled oscillators into the existence of rotating...