The Wiener–Hopf Equation with Probability Kernel and Submultiplicative Asymptotics of the Inhomogeneous Term

Autor:	Mikhail Sgibnev
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Wiener–Hopf equation inhomogeneous equation nonarithmetic probability distribution positive mean submultiplicative function asymptotic behavior Mathematics QA1-939
Zdroj:	AppliedMath, Vol 2, Iss 3, Pp 501-511 (2022)
Druh dokumentu:	article
ISSN:	2673-9909
DOI:	10.3390/appliedmath2030029
Popis:	We consider the inhomogeneous Wiener–Hopf equation whose kernel is a nonarithmetic probability distribution with positive mean. The inhomogeneous term behaves like a submultiplicative function. We establish asymptotic properties of the solution to which the successive approximations converge. These properties depend on the asymptotics of the submultiplicative function.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/abd196374c7f424c9b68373c1119fb29 Zobrazit plný text záznamu View record in DOAJ