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Decoupling of impulsive differential equations [PDF]

Mathematical Modelling and Analysis, 1997
„Decoupling of impulsive differential equations" Mathematical Modelling Analysis, 2(1), p.
Andrejs Reinfelds
doaj   +4 more sources

Impulsive Partial Neutral Differential Equations

Applied Mathematics Letters, 2006
The authors establish conditions for the existence of mild and strong solutions of a partial neutral functional-differential equation with unbounded delay of the form \[ (d/dt)(x(t)+F(t, x_t)) = Ax(t)+G(t, x_t) \] subject to pre-assigned moments of impulse effects.
Eduardo Hernandez
exaly   +5 more sources

A System of Coupled Impulsive Neutral Functional Differential Equations: New Existence Results Driven by Fractional Brownian Motion and the Wiener Process

Mathematics, 2023
Conditions for the existence and uniqueness of mild solutions for a system of semilinear impulsive differential equations with infinite fractional Brownian movements and the Wiener process are established.
Abdelkader Moumen, Mohamed Ferhat, Amin Benaissa Cherif, Mohamed Bouye, Mohamad Biomy   +4 more
doaj   +1 more source

Existence Theorem for Impulsive Differential Equations with Measurable Right Side for Handling Delay Problems

Journal of Mathematics, 2020
Due to noncontinuous solution, impulsive differential equations with delay may have a measurable right side and not a continuous one. In order to support handling impulsive differential equations with delay like in other chapters of differential ...
Z. Lipcsey, J. A. Ugboh, I. M. Esuabana, I. O. Isaac   +3 more
doaj   +1 more source

Some new generalized retarded inequalities for discontinuous functions and their applications

Journal of Inequalities and Applications, 2016
In this paper, some new generalized retarded inequalities for discontinuous functions are discussed, which are effective in dealing with the qualitative theory of some impulsive differential equations and impulsive integral equations.
Zhaowen Zheng, Xin Gao, Jing Shao
doaj   +1 more source

Controllability of Impulsive Differential Equations

Journal of Mathematical Analysis and Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Leela, S., Mcrae, F.A., Sivasundaram, S.
openaire   +2 more sources

The non-uniqueness of solution for initial value problem of impulsive differential equations involving higher order Katugampola fractional derivative

Advances in Difference Equations, 2020
In this paper we consider the initial value problem for some impulsive differential equations with higher order Katugampola fractional derivative (fractional order q ∈ ( 1 , 2 ] $q \in (1,2]$ ).
Xian-Min Zhang
doaj   +1 more source

Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays

Axioms, 2023
This paper introduces a novel concept of the impulsive delayed Mittag–Leffler-type vector function, an extension of the Mittag–Leffler matrix function.
Tingting Xie, Mengmeng Li
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.
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