In this work, the definition of first and second types multiplicative Chebyshev differential equations is given solutions these are investigated with help power series. Also, properties type polynomials proved. Finally, studies supported numerical examples.

We show existence of measure attractors for 2-D stochastic Navier-Stokes equations with general multiplicative noise.

In this paper, we develop an energy method to study finite speed of propagation and waiting time phenomena for the stochastic porous-media equation with linear multiplicative noise in up to three spatial dimensions. Based on a novel iteration technique and on stochastic counterparts of weighted integral estimates used in the deterministic setting, we formulate a sufficient criterion on the grow...

Multiplicative renormalization method (MRM) for deriving generating functions of orthogonal polynomials is introduced by Asai–Kubo– Kuo. They and Namli gave complete lists of MRM-applicable measures for MRM-factors h(x) = ex and (1 − x)−κ. In this paper, MRM-factors h(x) for which the beta distribution B(p, q) over [0, 1] is MRM-applicable are determined. In other words, all generating function...

Several studies suggest that the innate interferons (IFNs), IFN-alpha and IFN-beta, can act in concert with IFN-gamma to synergistically inhibit the replication of cytomegalovirus and herpes simplex virus type 1 (HSV-1). The significance of this observation is not yet agreed upon in large part because the nature and magnitude of the interaction between IFN-alpha/beta and IFN-gamma is not well d...

Nuclear cataract resulting from an overdose of selenite was characterized by a five-fold increase in nuclear urea-soluble protein. The origin of this urea-soluble protein was examined by two-dimensional electrophoresis, immunoblotting with monospecific antisera against rat lens crystallins, and tryptic mapping. Cataractous urea-soluble protein was primarily composed of insolubilized beta- and g...

We examined the effect of cognitive factors on the development of automaticity in a complex task. Participants (n = 24) performed a luggage screening task where we manipulated stimulus mapping (consistent vs. varied), frame size (small vs. large), memory set size (1 vs. 4) and time constraint, and examined their effects on participants' sensitivities, criterion shifts and confidence. Results re...

Nuclear safety has always been a focal point in the field of nuclear applications. Mobile robots carrying specific sensors for nuclear-radiation detection have become an alternative to manual detection. This work presents autonomous α/β radiation mapping framework, using mobile robot light and ranging (LiDAR) nuclear-radiation-detection sensor. The method employs simultaneous localization (SLAM...

The stochastic Fokas system (SFS), driven by multiplicative noise in the Itô sense, was investigated this study. Novel trigonometric, rational, hyperbolic, and elliptic solutions are found using a modified mapping method. Because is used to explain nonlinear pulse propagation monomode optical fibers, provided may be utilized analyze broad range of critical physical phenomena. In order impacts n...