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On the solvability of a boundary-value problem for a third-order differential equation with multiple characteristics
Yu. P. Apakovab, T. K. Yuldashevc, A. Kh. Zhuraeva 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.
Citation:
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”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 210, VINITI, Moscow, 2022, 24–34
Linking options:
https://www.mathnet.ru/eng/into1012 https://www.mathnet.ru/eng/into/v210/p24
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| Abstract page: | 213 | | Full-text PDF : | 105 | | References: | 68 |
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