[PDF] Top 20 A Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations

... the Halanay inequality has been extended to more general type and used for investigating the stability and dissipativity of various functional differential equations by several ... See full document

... the generalized Halanay inequality, some novel sufficient conditions on pth moment exponential stability of stochastic differential equations with Markovian switching and time-varying ... See full document

... stochastic functional differential equations (NSFDEs) play a key role in model- ing physical, technical, biological and economic dynamic systems such as predicting op- tion pricing and the growth of ...and ... See full document

... lower-order neutral functional differential equations, while studies on higher-order neutral functional differential equations are rather infrequent, especially on higher-order ... See full document

... and stability of neutral stochastic integro-differential evolution equations with infinite delay are discussed by using phase space ... See full document

... their stability analysis has attracted considerable attention in recent ...exponential stability of the Euler- Maruyama (EM) method and the backward Euler-Maruyama (BEM) method using the semi-martingale ... See full document

... exponential stability in p p ≥ 2-moment as well as almost surely exponential stability for mild solution of neutral stochastic partial differential equations with delays by establishing an ... See full document

... exponential stability gives information as regards the rate of decay of the solutions only in the case when the solutions are ...differential equations has been introduced by Akinyele ...for nonlinear ... See full document

... investigate stability properties of wide variety of ordinary, functional and partial ...of stability in differential equations with delay has encountered serious difficulties if the ... See full document

... of nonlinear neutral functional differential equations, a generalization of the Halanay inequality is ...this generalized Halanay inequality to an analysis of ... See full document

... of nonlinear neutral delay differential equations are established aiming at extending and/or improving some well known results in the ...the neutral equation to a nonneutral type and then using ... See full document

... Hyers-Ulam-Rassias stability of the functional inequality ...their stability, and Cho and Kim 23 proved the Hyers- Ulam-Rassias stability of the Jordan-von Neumann-type Cauchy-Jensen ... See full document

... The purpose of this work is to contribute to the development of the oscillation theory of second order nonlinear equations with delay argument. Firstly, by using comparison the- orems that compare the ... See full document

... differential equations that we study describe many phenomena and dynamical pro- cesses in various fields, and they have attracted a great deal of attention of researchers in physical sciences, mathematics, biology, ... See full document

... the differential systems are stochastic ...impulsive differential systems and also it is different from stochastic differential ...impulsive differential equations is a new research ... See full document

... of stability theory of functional equations for the proof of new fixed point theorems with ...the stability problems of several functional equations have been extensively ... See full document

... advanced functional differential equations with piecewise constant arguments, see, for example in literature ...of neutral functional differential equations with piecewise ... See full document

... Let T be a periodic time scale such that 0 ∈ T . In this article, we are interested in the analysis of qualitative theory of periodic and positive periodic solutions of neutral dynamic equations. Motivated ... See full document

... non-linear functional Voltera integro -differential equations with multiple delays, ...and functional equations, En- cyclopedia of Mathematics and its Applications, ... See full document

... impulsive differential equations is an important branch of differential equations, which has an extensive physical ...Impulsive differential equations arise frequently in the ... See full document