Fundamental solutions to Kolmogorov equations via reduction to canonical form

Erratum to "Fundamental Solutions to Kolmogorov Equations via Reduction to Canonical Form"

Lyrae variables in Galactic globular clusters

RR Lyrae variables in Galactic globular clusters V. The case of M3 pulsators. Abstract. We use our synthetic Horizontal Branch (HB) procedure to approach the debated problem concerning the adequacy of canonical HB stellar models to account for the observed peaked distribution of RR Lyrae fundamentalised periods in the globular cluster M3. We find that by assuming a suitable bimodal mass distrib...

Numerical Solution of Heun Equation Via Linear Stochastic Differential Equation

In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreo...

Weak solutions to the stochastic porous media equation via Kolmogorov equations: the degenerate case

A stochastic version of the porous medium equation with coloured noise is studied. The corresponding Kolmogorov equation is solved in the space L(H, ν) where ν is an infinitesimally excessive measure. Then a weak solution is constructed. 2000 Mathematics Subject Classification AMS: 76S05, 35J25, 37L40.

Fundamental Steady state Solution for the Transversely Isotropic Half Space

Response of a transversely isotropic 3-D half-space subjected to a surface time-harmonic excitation is presented in analytical form. The derivation of the fundamental solutions expressed in terms of displacements is based on the prefect series of displacement potential functions that have been obtained in the companion paper by the authors. First the governing equations are uncoupled in the cyl...