A Mellin transform solution to a second-order pantograph equation with linear dispersion arising in a cell growth model

Autor:	B. van Brunt, Graeme C. Wake
Rok vydání:	2011
Předmět:	Mellin transform Pantograph equation Applied Mathematics Functional equation Mathematical analysis Order (group theory) Probability density function Term (logic) Linear dispersion Constant (mathematics) Mathematics
Zdroj:	European Journal of Applied Mathematics. 22:151-168
ISSN:	1469-4425 0956-7925
DOI:	10.1017/s0956792510000367
Popis:	In this paper we study the probability density function solutions to a second-order pantograph equation with a linear dispersion term. The functional equation comes from a cell growth model based on the Fokker–Planck equation. We show that the equation has a unique solution for constant positive growth and splitting rates and construct the solution using the Mellin transform.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b1c8aaac68f1893d0b632a8bb8172f9d https://doi.org/10.1017/s0956792510000367 Zobrazit plný text záznamu