MATHEMATICS

Gellerstedt problem with data on the characteristics of one family and with nonlocal matching conditions

M. Mirsaburov, B. O. Eshonkulov

Termez State University, Termez

Abstract: In this work, for one class of equations of mixed type, the Gellerstedt problem is studied with data on pieces of characteristics of one family and with nonlocal conjugation conditions. Under certain restrictions on given functions in boundary conditions, the unique solvability of the problem under study is proven.

Keywords: Gellerstedt problem, nonlocal conjugation condition

UDC: 517.956.6