Based on the theory of independently scattered random measures, we introduce a natural generalisation Gaussian space-time white noise to Levy-type setting, which call Levy-valued measures. We determine subclass cylindrical Levy processes correspond and describe elements this uniquely by their characteristic function. embed measure, or corresponding process, in space general tempered distributio...

This article aims at analytically solving the free vibration problem of rectangular thin plates with one corner and its opposite two adjacent edges rotationally-restrained, which is difficult to handle by conventional semi-inverse approaches such as Levy solution Naiver solution, etc. Based on classical Fourier series theory, this work presents a first endeavor treat two-dimensional half-sinuso...

We study the distribution of first passage time for Levy type anomalous diffusion. A fractional Fokker-Planck equation framework is introduced. For the zero drift case, using fractional calculus an explicit analytic solution for the first passage time density function in terms of Fox or H-functions is given. The asymptotic behaviour of the density function is discussed. For the nonzero drift ca...

Metal roof sheathings are widely employed in large-span buildings because of their light weight, high strength and corrosion resistance. However, their severe working environment may lead to deformation, leakage and wind-lift, etc. Thus, predicting these damages in advance and taking maintenance measures accordingly has become important to avoid economic losses and personal injuries. Convention...

Abstract We study direct-sum decompositions of torsion-free, finitely generated modules over a (commutative) Bass ring R through the factorization theory corresponding monoid T ( ). Results Levy–Wiegand and Levy–Odenthal together with local case yield an explicit description The is typically neither factorial nor cancellative. Nevertheless, we construct transfer homomorphism to graph agglomerat...