Results 61 to 70 of about 20,477 (206)

Strict stability of impulsive functional differential equations

Journal of Mathematical Analysis and Applications, 2005
The authors apply Lyapunov functionals and Razumikhin technique to prove some results on strict uniform stability or Lyapunov's uniform asymptotic stability of the trivial solution of a retarded functional-differential equation with fixed times of impulsive effects.
Zhang, Yu, Sun, Jitao
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On Mathematical Models Based on Delay Differential Equations in Epidemiology

Applied Sciences
This paper examines solutions to mathematical models based on functional-differential equations, which have applications in immunology. This new approach allows us to study discontinuous solutions that more accurately depict real-world phenomena. It also
Mieczysław Cichoń, Kinga Cichoń
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Three Positive Periodic Solutions to Nonlinear Neutral Functional Differential Equations with Parameters on Variable Time Scales

Journal of Applied Mathematics, 2012
Using two successive reductions: B-equivalence of the system on a variable time scale to a system on a time scale and a reduction to an impulsive differential equation and by Leggett-Williams fixed point theorem, we investigate the existence of three ...
Yongkun Li, Chao Wang
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Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods [PDF]

, 2012
In this paper we consider input-to-state stability (ISS) of impulsive control systems with and without time-delays. We prove that if the time-delay system possesses an exponential Lyapunov-Razumikhin function or an exponential Lyapunov-Krasovskii ...
Dashkovskiy, Sergey, Kosmykov, Michael, Mironchenko, Andrii, Naujok, Lars   +3 more
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Asymptotic properties of stochastic population dynamics [PDF]

, 2008
In this paper we stochastically perturb the classical Lotka{Volterra model x_ (t) = diag(x1(t); ; xn(t))[b + Ax(t)] into the stochastic dierential equation dx(t) = diag(x1(t); ; xn(t))[(b + Ax(t))dt + dw(t)]: The main aim is to study the asymptotic ...
Deng, Feiqi, EPSRC (U.K.) (Funder), Jinan University of China (Funder), Key Programs of Science and Technology of Guangzhou (Funder), Mao, Xuerong, National Natural Science Foundation of China (Funder), Pang, Sulin   +6 more
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ON THE OPTIMAL IMPULSE CONTROL IN DESCRIPTOR SYSTEMS

Міжнародний науково-технічний журнал "Проблеми керування та інформатики"
We study the optimal impulse control problem with quadratic perfomance functional for a descriptor system. The system evolution is described by a linear differential-algebraic equation not solved with respect to the derivative of the state.
Л.А. Власенко, А.Г. Руткас, В.В. Семенець, А.О. Чикрій   +3 more
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Asymptotic stability for impulsive functional differential equation

Journal of Mathematical Analysis and Applications, 2007
This paper investigates the stability of impulsive functional differential equations. By extending Lyapunov's approach, some sufficient conditions are given for asymptotic stability and uniformly asymptotic stability of the equations. The obtained theorems extend or improve some existing results in recent publications.
Chen, Fulai, Wen, Xianzhang
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Existence of piecewise continuous mild solutions for impulsive functional differential equations with iterated deviating arguments

Electronic Journal of Differential Equations, 2013
The objective of this article is to prove the existence of piecewise continuous mild solutions to impulsive functional differential equation with iterated deviating arguments in a Banach space. The results are obtained by using the theory of analytic
Pradeep Kumar, Dwijendra N. Pandey, Dhirendra Bahuguna   +2 more
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Controllability of Nonlocal Impulsive Functional Differential Equations with Measure of Noncompactness in Banach Spaces [PDF]

, 2021
Dlmplekumar N. Chalishajar, Kulandhivel Karthikeyan, Dhachinamoorthi Tamizharasan   +2 more
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Existence of fractional impulsive functional integro-differential equations in Banach spaces [PDF]

, 2022
K. Nallathambi, Vediyappan Govindan, A. Santhi   +2 more
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