English

The Stochastic First Integrals, Kernel Functions for Integral Invariants and the Kolmogorov equations

Probability 2013-12-17 v1

Abstract

In this article we present the stochastic first integrals (SFI), the generalized It\^o-Wentzell formula and its application for obtaining the equations for SFI, for kernel functions for integral invariants and the Kolmogorov equations, described by the generalized It\^o equations.

Keywords

Cite

@article{arxiv.1312.4123,
  title  = {The Stochastic First Integrals, Kernel Functions for Integral Invariants and the Kolmogorov equations},
  author = {Valery Doobko and Elena Karachanskaya},
  journal= {arXiv preprint arXiv:1312.4123},
  year   = {2013}
}

Comments

18 pages, in Russian

R2 v1 2026-06-22T02:27:50.061Z