On an integral equation in kinetic theory of gases
type: Item
instance of: scholarly article
title: On an integral equation in kinetic theory of gases
zbMATH Open document ID: 0893.45004
author: A. Khachatryan
author: K. V. Papoyan
published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
publication date: 1998-03-24T00:00:00Z
review text: The authors investigate some convolution type integral equation on a finite interval with a completely monotone kernel arising at the kinetic theory of gases. Such equations have the form \[ f(x)= T_0(x)+\int_0^r T_{-1}(| x-t|)f(t) dt , \qquad t>0 \] where \[ T_n(x)=\frac{1}{\sqrt \pi}\int_0^\infty \exp(-s^2)\exp \left(-\frac{x}{s} \right) s^n ds,\qquad n=-1,0,1,\dots \] Using the connection with the Wiener-Hopf equation on the half-line they give a method for the construction of an approximate solution.
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 45L05
zbMATH DE Number: 1131846
zbMATH Keywords: kinetic theory of gases
zbMATH Keywords: Wiener-Hopf equation
zbMATH Keywords: approximation solution
zbMATH Keywords: convolution type integral equation
zbMATH Keywords: monotone kernel
reviewed by: N. Karapetiants
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1131846