The Wiener–Hopf equation with probability kernel of oscillating type

Authors

  • Mikhail Sergeevich Sgibnev Sobolev Institute of Mathematics

Keywords:

integral equation, inhomogeneous equation, Wiener-Hopf equation, asymptotic behavior, nonarithmetic distribution, oscillating type.

Abstract

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.

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Published

2020-09-08

Issue

Vol. 17 (2020)

Section

Real, complex and functional analysis