Results 141 to 150 of about 17,651 (182)

Parametric Stability of Impulsive Functional Differential Equations

Journal of Dynamical and Control Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Impulsive neutral functional differential equations with variable times

Nonlinear Analysis: Theory, Methods & Applications, 2003
The authors investigate the existence of solutions for first- and second-order impulsive neutral functional-differential equations with variable times. The fixed-point theorem due to Schaefer is used.
Benchohra, Mouffak, Ouahab, Abdelghani
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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
exaly   +3 more sources

On impulsive fuzzy functional differential equations

2016
In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.
Vu, Ho, VanHoa, Ngo
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Periodic averaging theorems for neutral stochastic functional differential equations involving delayed impulses

, 2020
This paper aims at addressing the issue of a periodic averaging method for neutral stochastic functional differential equations with delayed impulses. Two periodic averaging theorems are presented and the approximate equivalence between the solutions to ...
Jiankang Liu, W. Xu, Qin Guo, Jinbin Wang   +3 more
semanticscholar   +1 more source

Impulsive stochastic functional differential equations with Markovian switching: study of exponential stability from a numerical solution point of view

IMA Journal of Mathematical Control and Information
This paper is devoted to the study of stochastic functional differential systems with Markov switching. It focuses on the stability of numerical solutions.
K. Tran, George Yin
semanticscholar   +1 more source

Optimal controls for multi-term fractional stochastic integro-differential equations with impulses and infinite delay

International Journal of Systems Science
This paper aims to investigate a new class of functional fractional stochastic impulsive integro-differential equations with infinite delay in Hilbert space with two Riemann–Liouville fractional derivatives. To demonstrate the existence of mild solutions
Shahin Ansari, Muslim Malik, Rajesh Dhayal   +2 more
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Stability of impulsive stochastic functional differential equations with delays

Applied Mathematics Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jingxian Guo, Shuihong Xiao, Jianli Li
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Approximation of solutions to impulsive functional differential equations

Journal of Applied Mathematics and Computing, 2009
The authors consider the impulsive semilinear functional differential equation \[ u'(t)+ Au(t)=f(t,u_t),\quad t\in (0,T), \;t\neq t_k, \] \[ \Delta u(t_k)=I_k(u(t_k)), \quad k=1,2,\dots, p,\tag{1} \] \[ u(t)=h(t), \quad t\in [-\tau,0], \] where \(-A\) is the infinitesimal generator of an analytic semigroup on a separable Hilbert space \(H\), \(I_k:H\to
Muslim, M., Agarwal, Ravi P.
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Averaging principle for functional differential equations with impulses at variable times via Kurzweil equations

Differential and Integral Equations, 2013
We consider a large class of retarded functional differential equations subject to impulse effects at variable times and we present an averaging result for this class of equations by means of the techniques and tools of the theory of generalized ordinary
M. Federson, J. Mesquita
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