On One Convolution Equation in the Theory of Filtration of Random Processes

• Date: 2014
• Main Authors: Barsegyan, A. G., Engibaryan, N. B., Барсегян, А. Г., Енгибарян, Н. Б.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2201
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problems of analytic theory and the numerical-analytic solution of the integral convolution equation of the second kind $$ \begin{array}{cc}\hfill {\varepsilon}^2f(x)+{\displaystyle \underset{0}{\overset{r}{\int }}K\left(x-t\right)f(t)dt=g(x),}\hfill & \hfill x\in \left[0,r\rig...