Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions [PDF]
, 2013 In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space.
Machado, J. A. Tenreiro +3 more
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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 \[ x'(t)= f(t, x_t),\quad t\geq t_0,\quad \Delta_x= I_k(t, x(t^-)),\quad t= t_k,\quad k\in \mathbb{Z}^+. \]
Shen, Jianhua, Luo, Zhiguo, Liu, Xinzhi
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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. +2 more
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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
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Stability analysis of impulsive stochastic Cohen–Grossberg neural networks with mixed time delays [PDF]
, 2008 This is the post print version of the article. The official published version can be obtained from the link - Copyright 2008 Elsevier LtdIn this paper, the problem of stability analysis for a class of impulsive stochastic Cohen–Grossberg neural networks ...
Arik +38 more
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Multiple solutions for impulsive higher order functional differential equations [PDF]
Miskolc Mathematical Notes, 2008 The Leggett-Williams fixed point theorem is applied to obtain triple positive solutions for impulsive nth order functional differential equations.
Benchohra, Mouffak +3 more
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Impulsive Control Strategy for a Nonautonomous Food-Chain System with Multiple Delays
Journal of Control Science and Engineering, 2016 A nonautonomous food-chain system with Holling II functional response is studied, in which multiple delays of digestion are also considered. By applying techniques in differential inequalities, comparison theorem in ordinary differential equations ...
Baodan Tian, Yanhong Qiu, Yucai Ding
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Stability results for impulsive functional differential equations with infinite delay [PDF]
, 2012 For a family of diff erential equations with in finitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to
Faria, Teresa +2 more
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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
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Schauder’s fixed-point theorem in approximate controllability problems
International Journal of Applied Mathematics and Computer Science, 2016 The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces.
Babiarz Artur +2 more
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