Results 1 to 10 of about 1,371 (244)
Impulsive Stabilization of Functional Differential Equations via Liapunov Functionals
Journal of Mathematical Analysis and Applications, 1999 The authors discuss the use of the second Lyapunov method and the use of Lyapunov functionals in the analysis of impulsive stabilization problems concerning functional-differential equations of the form \[ x'(t)= f(t, x_t),\quad t\geq t_0,\quad \Delta_x= I_k(t, x(t^-)),\quad t= t_k,\quad k\in \mathbb{Z}^+. \]
Zhiguo Luo, Xinzhi Liu
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Stability of impulsive functional differential equations via the Liapunov functional
Applied Mathematics Letters, 2009 AbstractIn this work, we investigate the stability of a class of impulsive functional differential equations. Some general stability theorems are obtained. Our results can be applied to finite delay impulsive systems or infinite delay impulsive systems or impulsive systems involving both finite and infinite delays, in a unified way.
Zhiguo Luo, Jianhua Shen
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New comparison results for impulsive functional differential equations
Applied Mathematics Letters, 2010 The authors obtain sufficient conditions for the solution of the periodic boundary value problem to be negative. To solve this problem they compare solutions of differential equations and differential inequalities.
Jianli Li
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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.
Yu Zhang, Jitao Sun
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Frontiers in Physics, 2021 In this article, we study the existence and uniqueness of square-mean piecewise almost periodic solutions to a class of impulsive stochastic functional differential equations driven by fractional Brownian motion.
Lili Gao, Xichao Sun
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Axioms, 2021 The functional abstract second order impulsive differential equation with state dependent delay is studied in this paper. First, we consider a second order system and use a control to determine the controllability result.
Kulandhivel Karthikeyan +2 more
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Impulsive functional‐differential equations with nonlocalconditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Haydar Akça +2 more
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On the Study Of Asymptotically Almost Periodic Solutions of a Class of Impulsive Population Models [PDF]
Xibei Gongye Daxue Xuebao, 2018 Based on the Mawhin continuous theorem, the existence of strictly positive asymptotically almost periodic solutions of a class of impulsive population models is studied. The conclusion generalizes the conclusion of the existing literatures.
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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
Arab Journal of Mathematical Sciences, 2018 This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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Impulsive fractional functional differential equations
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian Liang Guo, Wei Jiang 0013
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