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Controllability of Impulsive Differential Equations

Journal of Mathematical Analysis and Applications, 1993
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Leela, S., Mcrae, F.A., Sivasundaram, S.
openaire   +2 more sources

Regularity Coefficients for Impulsive Differential Equations

The Quarterly Journal of Mathematics, 2020
Abstract For a linear impulsive differential equation, we introduce a Lyapunov regularity coefficient following as far as possible the non-impulsive case. We recall that a regularity coefficient is a quantity that characterizes the Lyapunov regularity of the dynamics.
Barreira, Luis, Valls, Claudia
openaire   +2 more sources

Li-Yorke chaos in hybrid systems on a time scale [PDF]

, 2015
By using the reduction technique to impulsive differential equations [1], we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The results of the present study are based on the Li-Yorke definition of chaos.
Akhmet, Marat, Fen, Mehmet Onur
core   +2 more sources

Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses

Discrete Dynamics in Nature and Society, 2017
A stability theory of nonlinear impulsive delay differential equations (IDDEs) is established. Existing algorithm may not converge when the impulses are variable.
X. Liu, Y. M. Zeng
doaj   +1 more source

Impulsive differential equations by using the Euler method [PDF]

, 2010
The theory of impulsive differential equations is emerging as an important area of investigation since such equations appear to represent a natural framework for mathematical modeling of several real phenomena.
Ahmad, Noor’ani, Amir Hamzah1, Nor Shamsidah, Kavikumar, J., Lee, Siaw Chong, Mamat, Mustafa   +4 more
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Some new integral inequalities with mixed nonlinearities for discontinuous functions

Advances in Difference Equations, 2018
In this paper, we establish some new integral inequalities with mixed nonlinearities for discontinuous functions, which provide a handy tool in deriving the explicit bounds for the solutions of impulsive differential equations and differential-integral ...
Haidong Liu
doaj   +1 more source

On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations [PDF]

, 2019
In this paper, we consider the nonlinear $\Psi$-Hilfer impulsive fractional differential equation. Our main objective is to derive the formula for the solution and examine the existence and uniqueness of results.
Kharade, Jyoti P., Kucche, Kishor D., Sousa, J. Vanterler da C.   +2 more
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Asymptotic Stability of a Class of Impulsive Delay Differential Equations

Journal of Applied Mathematics, 2012
This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations.
G. L. Zhang, M. H. Song, M. Z. Liu
doaj   +1 more source

Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

International Journal of Differential Equations, 2013
We use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order with one example of impulsive logistic model and few other examples as well.
Lakshman Mahto, Syed Abbas, Angelo Favini   +2 more
doaj   +1 more source

Existence and Uniqueness of Solutions to Four-Point Impulsive Fractional Differential Equations with p-Laplacian Operator

Mathematics, 2022
In this paper, by using fixed-point theorems, the existence and uniqueness of positive solutions to a class of four-point impulsive fractional differential equations with p-Laplacian operators are studied. In addition, three examples are given to justify
Limin Chu, Weimin Hu, Youhui Su, Yongzhen Yun   +3 more
doaj   +1 more source