[PDF] Top 20 Results on Exponential Stability of Impulsive Functional Differential Equation with Infinite or Finite Delays

... delay differential equations have attracted many researchers’ attention due to their wide applications in many fields such as control technology, drug administration and threshold theory in biology ...years, ... See full document

... nonlinear impulsive delay differential inequality, which improves some recent works in the litera- ture [9-12,16,18] and can be applied to the dynamical analysis of nonlinear ...local exponential ... See full document

... is stability. The problems of the stability of the solutions of differential equations via Lyapunov functions have been successfully investigated and various types of stability have been ...of ... See full document

... random impulsive equations gives more realistic than deterministic impulsive ...random impulsive ordinary differential equations and investigated boundedness of soloutions to these models by ... See full document

... of Impulsive Stochastic functional differential equation with ...uniqueness results of mild solution for Impul- sive SFDEs with infinite delay and Poisson jumps under non- ... See full document

... years, impulsive differential equations have become an active area of research due to their demon- strated applications in widespread fields of science and engineering such as biology, physics, control ... See full document

... of delays, they are less conservative than the delay independent ...robust stability is per- formed for generally bounded and uncertain ...robust stability has received considerable attention in ... See full document

... of impulsive neutral stochastic functional integro-differential equations or inclusions with infinite delays have attracted great interest of ...existence results for impulsive neutral ... See full document

... fruitful results have already been achieved (see ...the stability theory of stochastic partial differential equa- tions with delays has been considered by many authors over the last years, for ... See full document

... with infinite delay via fractional operators and ...stochastic functional differential equations with infi- nite delay, then ...and stability results of impulsive stochastic ... See full document

... For impulsive differential systems, most published papers deal with the problem with fixed time impulses ...random impulsive differential equations is a stochastic ...deterministic impulsive differential ... See full document

... In the present work, we search (ES) and (I) of the trivial solution of (VIDE) (1.3). The results to be obtained here are different from that given in the literature (see ([1]-[23]) and the references thereof). ... See full document

... Several authors have studied the existence of solutions of abstract nonlinear impulsive evolution equations in Banach space[1, 3, 5, 6, 9, 10, 11, 12, 15, 16, 20, 21], D.J.Guo, V.Lakshimikantham and X.Z.Liu [5] ... See full document

... Then, (2.14), (2.19) and (2.31) imply that the family ˜ A = { A(t) : ˜ t ∈ [0, T ]} is a stable family of generators in H with stability constants independent of t, by [6, Proposition 1.1]. Therefore, the ... See full document

... existing results, in this paper we aim to establish robust dissipativity and stability for USGNNs with Markovian jumping ...Lyapunov functional method, an appropriate LKF is constructed with more ... See full document

... The numerical analysis shows, that proposed approach solves at least the problems connected to com- plete integrability of the initial model. A calculation method is proposed by introducing a smooth finite ... See full document

... fractional differential or integro- differential inclusions (see [38], [39], [40] and references therein), so it is natural to extend the concept of approximate controllability to dynamical systems ... See full document

... on exponential stability of nonlinear time-varying systems with time-varying delays via impulsive control is ...the exponential stability for such systems is ...obtained ... See full document

... the exponential stability of the neutral differential equation with discrete time-varying ...Lyapunov-Krasovskii functional, model transformation, Leibniz-Newton formula and utilization ... See full document

... global exponential stability of the continuously differentiable, almost periodic, solution by using a fixed point theorem and differential inequality technique ...asymptotic stability of the ... See full document