semi-active base isolation system has been proposed mainly to mitigate the base drift of isolated structures while in most cases, its application causes the maximum acceleration of superstructure to be increased. in this paper, designing optimal semi-active base isolation system composed of linear base isolation system with low damping and magneto-rheological (mr) damper has been studied for co...

We provide a rather general perfection result for crude local semi-flows taking values in Polish space showing that semi-flow has modification which is (perfect) invariant under suitable metric dynamical system. Such (local) induces random system (RDS). Then we show this can be applied to several classes of stochastic differential equations driven by semimartingales with stationary increments s...

Semilinear stochastic evolution equations with multiplicative Poisson noise and monotone nonlinear drift in Hilbert spaces are considered‎. ‎The coefficients are assumed to have linear growth‎. ‎We do not impose coercivity conditions on coefficients‎. ‎A novel method of proof for establishing existence and uniqueness of the mild solution is proposed‎. ‎Examples on stochastic partial differentia...

Semi-active base isolation system has been proposed mainly to mitigate the base drift of isolated structures while in most cases, its application causes the maximum acceleration of superstructure to be increased. In this paper, designing optimal semi-active base isolation system composed of linear base isolation system with low damping and magneto-rheological (MR) damper has been studied for co...

Using the concept of majorant sequences (see [4, ch. XXI], [5], [7], [8]) some new inequalities for Walsh polynomials with complex semi-monotone, complex semi-convex, complex monotone and complex convex coefficients are given.

A coordinate cone in R n is an intersection of some coordinate hy-perplanes and open coordinate half-spaces. A semi-monotone set is an open bounded subset of R n , definable in an o-minimal structure over the reals, such that its intersection with any translation of any coordinate cone is connected. This can be viewed as a generalization of the convexity property. Semi-monotone sets have a numb...