Results 261 to 270 of about 1,670,423 (318)

Parametric topological entropy of impulsive differential inclusions

Topological Methods in Nonlinear Analysis
The main aim of this paper is to generalize and improve our earlier results in [J. Differential Equations \textbf{317} (2022), 365-386; \textbf{367} (2023), 783-803] and our joint result with Pavel Ludv\'{\i}k in [Internat. J. Bifur.\ Chaos Appl.
Jan Andres
semanticscholar   +3 more sources

Controllability Results for Impulsive Functional Differential Inclusions

Reports on Mathematical Physics, 2004
Control problems appear in many branches of physics and technical sciences. In this paper we investigate the controllability of first order semilinear impulsive functional differential inclusions in the case where the right hand side is convex or ...
Abdelghani Ouahab, Mouffak Benchohra, S K Ntouyas   +2 more
exaly   +4 more sources

Existence for Semilinear Impulsive Differential Inclusions Without Compactness

Journal of Dynamical and Control Systems, 2020
The author proves existence of mild solutions to the first-order semilinear impulsive differential inclusion with nonlocal condition \[\begin{aligned} x^{\prime}(t)\in A(t)x(t)+F(t,x(t)),\ t\in J^{\prime},\\ \Delta x\left( t_{k}\right) =I_{k}\left( x\left( t_{k}\right) \right),\ k=1,2,\dots,m,\\ x(0)=g(x) \end{aligned}\] in a reflexive Banach space \(X\
Yan Luo
semanticscholar   +3 more sources

Existence for Impulsive Semilinear Functional Differential Inclusions

Qualitative Theory of Dynamical Systems, 2021
In 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
openaire   +2 more sources

Existence Results for Impulsive Differential Inclusions With Nonlocal Conditions

Computers and Mathematics With Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shaochun Ji
exaly   +4 more sources

Impulsive Functional Differential Inclusions and Fuzzy Population Models

Fuzzy Sets and Systems, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoping Xue, Ronglu Li
exaly   +4 more sources

Detectability under impulse differential inclusions

2001 European Control Conference (ECC), 2001
This 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.
Jean-Pierre Aubin, George Haddad
openaire   +1 more source

Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori

International Journal of Bifurcation and Chaos, 2021
A multivalued version of the Ivanov inequality for the lower estimate of topological entropy of admissible maps is applied to differential inclusions with multivalued impulses on tori via the associated Poincaré translation operators along their trajectories.
openaire   +2 more sources

Impulsive Differential Inclusions

2013
Impulsive 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, Johnny Henderson, Abdelghani Ouahab   +2 more
openaire   +1 more source

Viability and invariance kernels of impulse differential inclusions

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
Impulse differential inclusions provide a framework for modelling hybrid phenomena. In the context of impulse differential inclusions, verification for safety specifications and safe controller synthesis can be formulated as viability and invariance questions for appropriate sets of states.
Jean-Pierre Aubin, John Lygeros, Marc Quincampoix, Shankar Sastry 0001, Nicolas Seube   +4 more
openaire   +2 more sources