The present study focuses on the estimation of response building structure supplemented with superelastic shape memory alloy (SMA) damper under stochastic seismic excitation. To this end, has been determined using linearization method random earthquakes and control efficiency SMA is compared yield damper. As output, top floor root mean square (rms) acceleration displacement are presented here i...

We consider a class of semi-linear differential Volterra equations with memory terms, polynomial nonlinearities and random perturbation. For broad nonlinearities, we show that the system in concern admits unique weak solution. Also, any statistically steady state must possess regularity compatible Moreover, if sufficiently many directions are stochastically forced, employ generalized coupling a...

In this chapter we present the formal language, stochastic process algebra (STOPA), to specify cognitive systems. In addition to the usual characteristics of these formalisms, this language features the possibility of including stochastic time. This kind of time is useful to represent systems where the delays are not controlled by fixed amounts of time, but are given by probability distribution...

drought is a gradual phenomenon and cause important changes in water resources, agriculture and so on. due to the stochastic behavior of factors that influence the occurrence and intense of drought, one can consider this phenomenon as a stochastic process. with respect to the importance of predicted drought severity and its vital influence in designing and operating water resources systems, thi...

We show that spectral functions relevant for commonly used models of the non-Debye relaxation are related to Stieltjes supported on positive semiaxis. Using only this property it can be shown response and nonnegative. They connected each other obey time evolution provided by integral equations involving memory function $M(t)$ which is as well. This fact also due character function. Stochastic p...

In this work, we propose a Bayesian methodology to make inferences for the memory parameter and other characteristics under non-standard assumptions for a class of stochastic processes. This class generalizes the Gamma-modulated process, with trajectories that exhibit long memory behavior, as well as decreasing variability as time increases. Different values of the memory parameter influence th...

In this paper, we develop a large deviations principle for stochastic delay equations driven by small multiplicative white noise. Both upper and lower large deviations estimates are established.

This article establishes existence and uniqueness of solutions to two classes of stochastic systems with finite memory subject to anticipating initial conditions which are sufficiently smooth in the Malliavin sense. The two classes are semilinear stochastic functional differential equations (sfdes) and fully nonlinear sfdes with a sublinear drift term. For the semilinear case, we use Malliavin ...