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

• Datum: 2014
• Hauptverfasser: Barsegyan, A. G., Engibaryan, N. B., Барсегян, А. Г., Енгибарян, Н. Б.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2014
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2201
• Назва журналу: 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...