Generalization of the Tricomi Problem
М. МирсабуровTermez State University, Termez, Surkhandar’inskaya oblast, 190100, UzbekistanO. BegalievTermez State University, Termez, Surkhandar’inskaya oblast, 190100, UzbekistanN. Kh. KhurramovTermez State University, Termez, Surkhandar’inskaya oblast, 190100, Uzbekistan
ABI
Abstract
For the equation (sgn y)|y|muxx + uyy +(β0/y)uy = 0 in a mixed domain, we prove existence and uniqueness theorems for a solution of the problem with the Tricomi condition on part of the boundary characteristic and the Gellerstedt condition on an internal characteristic parallel to it.