Results 31 to 40 of about 30,923 (209)

Asymptotic Behavior of Impulsive Differential Equations

Rocky Mountain Journal of Mathematics, 1996
This is one of the first works devoted to the study of asymptotic behaviour of solutions of the following impulsive system: \(x' = f(t,x)\), \(t \neq t_i\), \(\Delta x(t_i) = \varphi_i (x(t_i))\), \(t_i \to + \infty\), \((t,x) \in \mathbb{R}_+ \times \mathbb{R}^n\).
González, Patricio, Pinto Jiménez, Manuel   +1 more
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Eventual stability and eventual boundedness for impulsive differential equations with “supremum”

Mathematical Modelling and Analysis, 2011
Eventual stability and eventual boundedness for nonlinear impulsive differential equations with supremums are studied. The impulses take place at fixed moments of time. Piecewise continuous Lyapunov functions have been applied.
Ivanka Stamova
doaj   +1 more source

Random Fuzzy Differential Equations with Impulses [PDF]

Complexity, 2017
We consider the random fuzzy differential equations (RFDEs) with impulses. Using Picard method of successive approximations, we shall prove the existence and uniqueness of solutions to RFDEs with impulses under suitable conditions. Some of the properties of solution of RFDEs with impulses are studied.
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Fractional Differential Equations with Impulsive Effects

Fractal and Fractional
This paper discusses impulsive effects on fractional differential equations. Two approaches are taken to obtain our results: either with fixed or changing lower limits in Caputo fractional derivatives.
Michal Fečkan, Marius-F. Danca, Guanrong Chen   +2 more
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The existence of solutions for perturbed fractional differential equations with impulses via Morse theory

Boundary Value Problems, 2020
In the present paper, the existence of nontrivial solutions of impulsive fractional differential equations with Dirichlet boundary conditions is studied.
Peiluan Li, Liang Xu, Hui Wang, Yumeng Wang   +3 more
doaj   +1 more source

On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects

Cubo, 2023
In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi   +4 more
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Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces

Abstract and Applied Analysis, 2010
A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered. We introduce the reasonable PC-α-mild solution of second-
Y. Peng
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Picone type formula for non-selfadjoint impulsive differential equations with discontinuous solutions

Electronic Journal of Qualitative Theory of Differential Equations, 2010
A Picone type formula for second order linear non-selfadjoint impulsive differential equations with discontinuous solutions having fixed moments of impulse actions is derived.
Abdullah Özbekler, Agacik Zafer
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Controllability Results for First Order Impulsive Fuzzy Differential Systems

Axioms, 2022
In this paper, we investigate the controllability of first-order impulsive fuzzy differential equations. Using the direct construction method, the controllability of first-order linear impulsive fuzzy differential equations is considered with ...
Rui Liu, Michal Fečkan, Donal O’Regan, Jinrong Wang   +3 more
doaj   +1 more source

Lipschitz Quasistability of Impulsive Differential Equations

Journal of Mathematical Analysis and Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kulev, G.K., Bainov, D.D.
openaire   +1 more source