Results 171 to 180 of about 20,477 (206)

Stability analysis of impulsive stochastic functional differential equations

Communications in Nonlinear Science and Numerical Simulation, 2020
In this paper, the authors use the Razumikhin techniques and Lyapunov functions to investigate the stability of impulsive stochastic functional differential equations. The results show that impulses make contribution to the exponential stability of stochastic differential systems with any time delay even they are unstable.
Yingxin Guo, Quanxin Zhu, Fei Wang
openaire   +1 more source

Parametric Stability of Impulsive Functional Differential Equations

Journal of Dynamical and Control Systems, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 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
openaire   +1 more source

A new approach to stability of impulsive functional differential equations

Applied Mathematics and Computation, 2004
The authors develop a new technique to study stability of impulsive functional-differential equations. This technique allows them to construct suitable Lyapunov functions.
Yepeng Xing, Maoan Han
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +2 more sources

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.
openaire   +1 more source

Stability of sets of functional differential equations with impulse effect

Applied Mathematics and Computation, 2011
The stability of sets is more general than the known stability which concerns the trivial solution, or a nontrivial solution. The stability of sets is a special stability, in terms of two measures. In this paper the author discusses the stability of sets for functional differential equations with impulses.
openaire   +2 more sources

On the solutions for impulsive fractional functional differential equations

Differential Equations and Dynamical Systems, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Fulai, Chen, Anping, Wang, Xiaoping   +2 more
openaire   +2 more sources

Asymptotic stability for impulsive functional differential equations

Applied Mathematics and Mechanics, 2009
To a nonlinear scalar impulsive functional differential equation the second Lyapunov method and Jensen's inequality are applied to obtain new asymptotic stability results. An interesting example of an equation with infinite number of terms is considered.
Luo, Zhi-guo, Luo, Yan
openaire   +1 more source