Аннотация:
We prove the existence of a solution to the inhomogeneous Wiener–Hopf equation whose kernel is a nonarithmetic probability distribution generating an oscillating random walk. Asymptotic properties of the solution are established depending on the properties of the inhomogeneous term of the equation.
Образец цитирования:
M. S. Sgibnev, “The Wiener–Hopf equation with probability kernel of oscillating type”, Сиб. электрон. матем. изв., 17 (2020), 1288–1298
\RBibitem{Sgi20}
\by M.~S.~Sgibnev
\paper The Wiener–Hopf equation with probability kernel of oscillating type
\jour Сиб. электрон. матем. изв.
\yr 2020
\vol 17
\pages 1288--1298
\mathnet{http://mi.mathnet.ru/semr1289}
\crossref{https://doi.org/10.33048/semi.2020.17.095}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000567362600001}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr1289
https://www.mathnet.ru/rus/semr/v17/p1288
Эта публикация цитируется в следующих 3 статьяx:
M.S. Sgibnev, “GENERALIZED WIENER–HOPF EQUATIONS WITH DIRECTLY RIEMANN INTEGRABLE INHOMOGENEOUS TERM”, J Math Sci, 271:3 (2023), 400
Mikhail Sgibnev, “The Wiener–Hopf Equation with Probability Kernel and Submultiplicative Asymptotics of the Inhomogeneous Term”, AppliedMath, 2:3 (2022), 501
M. S. Sgibnev, “On the uniqueness of the solution to the Wiener–Hopf equation with probability kernel”, Сиб. электрон. матем. изв., 18:2 (2021), 1146–1152
Цитирование в формате AMSBIB
Обратная связь: