Results 31 to 40 of about 1,362 (278)
Impulsive stabilization of high-order nonlinear retarded differential equations [PDF]
, 2013 summary:In this paper, impulsive stabilization of high-order nonlinear retarded differential equations is investigated by using Lyapunov functions and some analysis methods.
Liu, Juan, Li, Xiaodi
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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 of functional differential equations with impulses
Journal of Mathematical Analysis and Applications, 2007 The authors establish some comparison theorems for functional differential equations (FDE) with impulses using several Lyapunov-Razumikhin. The comparison theorems are employed to develop sufficient conditions for stability theorems for FDE. An example is given to illustrate the usefulness and advantages of the results.
Liu, Kaien, Fu, Xilin
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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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Cogent Engineering, 2015 The current paper is concerned with the controllability of nonlocal second-order impulsive neutral stochastic functional integro-differential equations with infinite delay and Poisson jumps in Hilbert spaces.
Diem Dang Huan, Hongjun Gao
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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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About differential inequalities for nonlocal boundary value problems with impulsive delay equations [PDF]
, 2015 summary:We propose results about sign-constancy of Green's functions to impulsive nonlocal boundary value problems in a form of theorems about differential inequalities. One of the ideas of our approach is to construct Green's functions of boundary value
Volinsky, Irina, Domoshnitsky, Alexander
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Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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International Journal of Analysis and Applications, 2023 In this paper, we investigate the existence and uniqueness of solutions for functional impulsive fractional differential equations and integral boundary conditions. Our results are based on some fixed point theorems.
Aida Irguedi +2 more
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Existence results for first order impulsive functional differential equations with state-dependent delay [PDF]
, 2010 summary:In this paper we study the existence of solutions for impulsive differential equations with state dependent delay. Our results are based on the Leray–Schauder nonlinear alternative and Burton–Kirk fixed point theorem for the sum of two ...
Hedia, Benaouda, Benchohra, Mouffak
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