Yu. P. Apakov, T. K. Yuldashev, A. Kh. Zhuraev, “On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2022, Volume 210,Pages <nobr>24

On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics

Yu. P. Apakov^ab, T. K. Yuldashev^c, A. Kh. Zhuraev^a

^a Namangan Engineering – Building Institute
^b Namangan Department, Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan
^c National University of Uzbekistan named after M. Ulugbek, Tashkent

Abstract: In this paper, we discuss the unique solvability of a boundary-value problem for an inhomogeneous third-order partial differential equation with multiple characteristics. Using the Green function, we is construct a solution of this boundary-value problem in the explicit form.

Keywords: partial differential equation, third-order equation, equation with multiple characteristics, unique solvability, boundary-value problem.

UDC: 517.953.5

MSC: 35G15

DOI: 10.36535/0233-6723-2022-210-24-34