On exponential stability of functional differential equations with variable impulse perturbations
, 2014 We consider a class of functional differential equations subject to perturbations, which vary in time, and we study the exponential stability of solutions of these equations using the theory of generalized ordinary differential equations and Lyapunov ...
Bonotto, Everaldo de Mello +2 more
core +4 more sources
Periodic solutions of measure functional differential equations
, 2022 In this article, we study the existence of periodic solutions for measure functional differential equations of the form x(t)=x(0)+∫0tf(s,xs)ds+∫0tg(s,xs)du(s), defined for every t∈R, under suitable assumptions on f,g and u, where the integrals on the ...
Afonso, S. M. [UNESP] +2 more
core +1 more source
Dynamical Behavior of a Predator-Prey System Incorporating a Prey Refuge with Impulse Effect
Complexity, 2022 A predator-prey model with Holling II functional response incorporating a prey refuge with impulse effect is considered in this paper. With the help of the Floquet theory of impulsive differential equations, local stability and global attractivity of the
Zuxiong Li, Xue Yang, Shengnan Fu
doaj +1 more source
Oscillations of Higher Order Functional Differential Equations with Impulses [PDF]
gmj, 2006 Abstract A kind of higher order sub-and super-linear FDE with impulses is studied in this paper. Several criteria on the oscillations of solutions are given. In particular, in the case where the coefficients of equations are positive and continuous functions, we find some suitable impulse functions such that all solutions of the equation
Zhang, Chaolong, Feng, Weizhen
openaire +2 more sources
Impulsive stabilization of stochastic functional differential equations
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Liu 0015, Xinzhi Liu, Wei-Chau Xie
openaire +1 more source
Axioms, 2021 In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem.
Falguni Acharya +3 more
doaj +1 more source
BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractIn the present paper an initial value problem for impulsive functional differential equations with variable impulsive perturbations is considered. By means of piecewise continuous functions coupled with the Razumikhin technique, sufficient conditions for boundedness of solutions of such equations are found.
openaire +2 more sources
A new continuous dependence result for impulsive retarded functional differential equations [PDF]
, 2016 summary:We consider a large class of impulsive retarded functional differential equations (IRFDEs) and prove a result concerning uniqueness of solutions of impulsive FDEs.
Mesquita, Jaqueline Godoy +1 more
core +1 more source
Exponential Synchronization of the Hopfield Neural Networks with New Chaotic Strange Attractor
ITM Web of Conferences, 2017 This paper studies the problems of exponential synchronization for the Hopfield neural networks with impulsive effects and Gui chaotic strange attractor.
Gui Zhan-Ji, Wang Kai-Hua
doaj +1 more source
Finite Horizon Impulse control of Stochastic Functional Differential Equations
SIAM Journal on Control and Optimization, 2023 In this work we show that one can solve a finite horizon non-Markovian impulse control problem with control dependant dynamics. This dynamic satisfies certain functional Lipschitz conditions and is path dependent in such a way that the resulting trajectory becomes a flow.
Johan Jönsson, Magnus Perninge
openaire +2 more sources