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 “On Semicontinuity in Impulsive Dynamical Systems”
Some features of uncontinuable solutions of impulsive dynamical systems.
On time reparametrizations and isomorphisms of impulsive dynamical systems
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We prove that for a given impulsive dynamical system there exists an isomorphism of the basic dynamical system such that in the new system equipped with the same impulse function each impulsive trajectory is global, i.e. the resulting dynamics is defined for all positive times. We also prove that for a given impulsive system it is possible to change the topology in the phase space so that we may consider the system as a semidynamical system (without impulses).
On initial value problems for a class of first order impulsive differential inclusions
Mouffak Benchohra, Abdelkader Boucherif, Juan J. Nieto (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.
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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...
A new continuous dependence result for impulsive retarded functional differential equations
Márcia Federson, Jaqueline Godoy Mesquita (2016)
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We consider a large class of impulsive retarded functional differential equations (IRFDEs) and prove a result concerning uniqueness of solutions of impulsive FDEs. Also, we present a new result on continuous dependence of solutions on parameters for this class of equations. More precisely, we consider a sequence of initial value problems for impulsive RFDEs in the above setting, with convergent right-hand sides, convergent impulse operators and uniformly convergent initial data. We assume...
Fixed time impulsive differential inclusions.
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Attractivity of nonlinear impulsive delay differential equations.
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Journal of Applied Mathematics and Stochastic Analysis
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Asymptotic equivalence of impulsive differential equations in a Banach space.
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By means of Schauder's fixed point theorem sufficient conditions for asymptotic equivalence of impulsive equations in a Banach space are found.
Impulsive exponential stabilization of functional differential systems with infinite delay.
Sun, Xiaoli, Li, Xiaodi (2009)
Discrete Dynamics in Nature and Society
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On nonresonance impulsive functional nonconvex valued differential inclusions
Mouffak Benchohra, Johnny Henderson, Sotiris K. Ntouyas (2002)
Commentationes Mathematicae Universitatis Carolinae
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In this paper a fixed point theorem for contraction multivalued maps due to Covitz and Nadler is used to investigate the existence of solutions for first and second order nonresonance impulsive functional differential inclusions in Banach spaces.