TY - JOUR AU - Osypchuk, M. М. AU - Boyko, M. V. PY - 2021/10/22 Y2 - 2024/03/28 TI - PERTURBATION OF A ROTATIONALLY INVARIANT α-STABLE STOCHASTIC PROCESS BY A PSEUDO-GRADIENT OPERATOR JF - PRECARPATHIAN BULLETIN OF THE SHEVCHENKO SCIENTIFIC SOCIETY. Number JA - Number VL - IS - 16(60) SE - Mathematics and Mechanics DO - 10.31471/2304-7399-2021-16(60)-20-32 UR - https://pvntsh.nung.edu.ua/index.php/number/article/view/1706 SP - 20-32 AB - <p align="justify"><em>A generalized fundamental solution of a linear parabolic pseudo-differential equation with a main operator, which is a generator of a rotational-invariant α-stable Markov stochastic process in a multidimensional Euclidean space with α, ranging from 1 to 2 not inclusive, is constructed. A smaller-order operator is a “pseudo-gradient” with a coefficient that is a vector function of one of the classes: bounded continuous or some powerintegrable functions.</em></p> ER -