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A Contribution to the Study of Functional Differential Equations With Impulses
Mathematische Nachrichten, 2000A periodic boundary value problem for a special type of functional-differential equations with impulses at fixed points is studied. A comparison result is presented that allows to construct a sequence of approximate solutions and to give an existence result. Several particular cases are considered.
Juan J Nieto +2 more
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Stability of stochastic functional differential equations with impulses
Applied Mathematics Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongyu Kuang, Jianli Li
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P-Moment Stability of Functional Differential Equations With Random Impulses
Computers and Mathematics With Applications, 2006 Functional differential equations with random impulses \[ x'(t)= f(t, x_t),\;t\geq t_0,\;t\neq\xi_k,\;x(\xi_k)= I(\tau_k, x(\xi^-_k)),\;k= 1,2,\dots, x_{t_0}= \varphi\tag{1} \] are considered. The following stability conditions were obtained by using Lyapunov's method with Razumikhin condition. Theorem. Let \(x(t)\) be a solution of system (1) and \(p>
Shujin Wu
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Perturbed Impulsive Neutral Stochastic Functional Differential Equations
Qualitative Theory of Dynamical Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Lijuan, Hu, Lanying, Ren, Yong
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On the asymptotic stability for impulsive functional differential equations
Acta Mathematica Hungarica, 2011Impulsive functional differential equations with finite delay are studied. The authors prove uniform asymptotic stability of the zero solution. They obtain some new Lyapunov functional in order to establish the obtained results. The paper generalizes some known results about the stability of impulsive functional differential equations.
Jiang, F., Shen, J.
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Stability of impulsive functional differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2008This paper deals with the stability of impulsive functional differential equation in which the impulses depend on the delay. The authors obtain some stability results by means of Lyapunov functions and the Razumikhin technique. The work is illustrated by some examples.
Zhang, Yu, Sun, Jitao
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