Results 31 to 40 of about 14,050 (134)
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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Almost periodic solutions of retarded SICNNs with functional response on piecewise constant argument [PDF]
, 2015 We consider a new model for shunting inhibitory cellular neural networks, retarded functional differential equations with piecewise constant argument. The existence and exponential stability of almost periodic solutions are investigated.
Akhmet, Marat +2 more
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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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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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On the conditional stability of impulsive functional differential equations [PDF]
Applied Mathematics Research eXpress, 2006 We obtain sufficient conditions for conditional stability of the zero solution of impulsive functional differential equations with impulse perturbations at fixed moments of time. The main results are found by means of piecewise continuous functions, which are analogues of the classical Lyapunov functions and via the comparison method.
I. M. Stamova, G. T. Stamov
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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, Jianhua Shen
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Mathematical control of complex systems [PDF]
, 2013 Copyright © 2013 ZidongWang et al.This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly ...
Hu, J, Karimi, HR, Shen, B, Wang, Z
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Electronic Journal of Qualitative Theory of Differential Equations, 2013 Monotonicity of solutions is an important property in the investigation of oscillatory behaviors of differential equations. A number of papers provide some existence criteria for eventually positive increasing solutions.
Shao-Yuan Huang, Sui Sun Cheng
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