On the Solution to the Kolmogorov–Feller Equation Arisingin a Biological Evolution Modelстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 10 апреля 2024 г.
Аннотация:The paper considers Kolmogorov–Feller equation for the probability density of a Markovprocess on a half-axis, which arises in important problems of biology. This process consists ofrandom jumps distributed according to the Laplace law and a deterministic return to zero. It is shownthat the Green function for such an equation can be found both in the form of a series and in explicitform for some ratios of the parameters. This allows finding explicit solutions to the Kolmogorov–Feller equation for many initial data