Abstract We prove absolute continuity of the law solution, evaluated at fixed points in time and space, to a parabolic dissipative stochastic PDE on L 2 ( G ), where is an open bounded domain $\mathbb {R}^{d}$ ℝ d with smooth boundary. The equatio...

in this paper, some recent results established by marin borcut [m. borcut, tripled fixed point theorems for monotone mappings in partially ordered metric spaces, carpathian j. math. 28, 2 (2012), 207--214] and [m. borcut, tripled coincidence theorems for monotone mappings in partially ordered metric spaces, creat. math. inform. 21, 2 (2012), 135--142] are generalized and improved, with much sho...

Let k be a positive integer. The limiting distribution of the nonparametric maximum likelihood estimator of a k−monotone density is given in terms of a smooth stochastic process Hk described as follows: (i) Hk is everywhere above (or below) Yk, the k− 1 fold integral of two-sided standard Brownian motion plus (k!/(2k)!)t2k when k is even (or odd). (ii) H(2k−2) k is convex. (iii) Hk touches Yk a...

Consider the population model with infinite size associated to subcritical continuous-state branching processes (CSBP). We study flow of ancestral lineages as time goes past and show that, properly renormalized, it converges almost surely inverse a drift-free subordinator whose Laplace exponent is explicit in terms mechanism. The shown be partitioning current into families distinct common ances...

Various self-consistent semiconductor device equations, such as drift diffusion, hydrodynamic and Boltzmann transport equations require solution of a multi-dimensional Poisson’s equation that describes the potential distribution in the device for a specified doping profile. In this paper, a three-dimensional semiconductor nonlinear Poisson’s equation is solved numerically with finite volume and...

In this paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. Math. 28, 2 (2012), 207--214] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. 21, 2 (2012), 135--142] are generalized and improved, with much sho...

A general notion of completely monotone functionals on an ordered Banach algebra B into a proper H*-algebra A with an integral representation for such functionals is given. As an application of this result we have obtained a characterization for the generalized completely continuous monotone functions on weighted foundation semigroups. A generalized version of Bochner’s theorem on foundation se...