On a nonlocal boundary-value problem for a loaded parabolic-hyperbolic equation with three lines of degeneracy

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Bozor I. Islomov¹  Jurat A. Xolbekov² 

[1] National University of Uzbekistan named after M. Ulugbek;Tashkent State Technical University named after I. Karimov;

关键词: loaded equation;    nonlocal problem;    volterra integral equation with a shift;    green's function;    uniqueness and existence of a solution;   

DOI  :  10.14498/vsgtu1822

来源: DOAJ

【 摘 要 】

The work is devoted to the proof of the uniqueness and existence of a solution of a nonlocal problem for a loaded parabolic-hyperbolic equation with three lines of change of type. Using the representation of the general solution, the uniqueness of the solution is proved, and the existence of the solution is proved by the method of integral equations. Necessary conditions for the parameters and specified functions are established for the unique solvability of Volterra integral equations of the second kind with a shift equivalent to the problem under study.

【 授权许可】

Unknown