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Existence for Impulsive Semilinear Functional Differential Inclusions
Qualitative Theory of Dynamical Systems, 2021In this paper authors, investigate the existence of solutions for first-order impulsive semilinear functional differential inclusions in Banach spaces. Sufficient condition for the existence is obtained with the well-known Covitz and Nadler's fixed point theorem for multivalued contractions.
Yan Luo, Weibing Wang
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Detectability under impulse differential inclusions
2001 European Control Conference (ECC), 2001This paper adapts to the case of impulse and hybrid control systems the results obtained by Aubin, Biechi & Pancanti on "detectability" of solutions of usual control systems. Measurements of the state, described by a detectability tube, that may be quantized, are gathered along time.
J.P. Aubin, G. Haddad
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Impulsive Differential Inclusions
2013Impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, etc. The questions of existence and stability of solutions for different classes of initial values problems for impulsive differential equations and ...
John R. Graef +2 more
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Impulsive differential inclusions via variational method
Georgian Mathematical Journal, 2016Abstract In this paper, we establish several results about the existence of second-order impulsive differential inclusion with periodic conditions. By using critical point theory, several new existence results are obtained. We also provide an example in order to illustrate the main abstract results of this paper.
Benchohra, Mouffak +2 more
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Impulsive functional Differential Inclusions on Unbounded Domain
2020 2nd International Conference on Mathematics and Information Technology (ICMIT), 2020In this work, we present some results of existence of solutions and topological structure of some class of impulsive Cauchy problem of differential inclusions on Unbounded Domain.
Bahya Roummani, Abdelghani Ouahab
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