In this article, we study the asymptotical stability in p-th moment of mild solutions to a class of fractional impulsive partial neutral stochastic integro-differential equations with state-dependent delay in Hilbert spaces. We assume that the linear part of this equation generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence and as...

The impulsive delay differential equation is considered (Lx)(t) = x'(t) + ∑(i=1)(m) p(i)(t)x(t - τ(i) (t)) = f(t), t ∈ [a, b], x(t j) = β(j)x(t(j - 0)), j = 1,…, k, a = t0 < t1 < t2 < ⋯<t k < t k+1 = b, x(ζ) = 0, ζ ∉ [a, b], with nonlocal boundary condition lx = ∫(a)(b) φ(s)x'(s)ds + θx(a) = c, φ ∈ L ∞ [a, b]; θ, c ∈ R. Various results on existence and uniqueness of solutions and on positivity/...

In this paper, The impulsive delay epidemic SIS model is considered. By using the continuation theory for k-set contractions, the sufficient conditions of the existence of positive ω−periodic solutions of the impulsive delay SIS model are obtained.

in this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the takagi-sugeno (t-s) fuzzy models is considered. a novel linear matrix inequality (lmi)-based stability criterion is obtained by using lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

In this paper, the impulsive delay fishing model is considered. By using the continuation theory for k-set contractions, the sufficient conditions of the existence of positive ω−periodic solutions of the impulsive delay fishing model are obtained.

We consider a logistic differential equation subject to impulsive delayed harvesting, where the deduction information is function of population size at time one previous impulses. A close connection dynamics high-order difference equations used conclude that while inclusion delay in condition does not impact optimality yield, sustainability may be highly affected and generally delay-dependent. ...

Impulsive choice behavior incorporates the psychological mechanisms involved in the processing of the anticipated magnitude and delay until reward. The goal of the present experiment was to determine whether individual differences in such processes related to individual differences in impulsive choice behavior. Two groups of rats (Delay Group and Magnitude Group) were initially exposed to an im...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t This paper is concerned with the stability of n-dimensional stochastic differential delay systems with nonli...

where a, β, b, c, τ are nonnegative continuous periodic functions. Since then, different classes of neutral functional differential equations have been extensively studied, we refer the readers to [1-5] and the references therein. However, in the natural world, there are many species whose developing processes are both continuous and discrete. Hence, using the only differential equation or diff...