On Unique Solvability of a Boundary-Value Problem for a Viscous Transonic Equation

被引：6
作者：
Apakov, Yu. P. [1 ,2 ]
机构：
[1] Namangan Engn Construct Inst, Namangan 160103, Uzbekistan
[2] Uzbek Acad Sci, Namangan Reg Dept, Inst Math, Namangan 160136, Uzbekistan
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2020年 / 41卷 / 09期
关键词：
third-order equation with multiple characteristics; the energy integral; infinite series; uniform convergence; the Green’ s function; integral representation of the solution; INTEGRAL CONDITIONS; 3RD-ORDER EQUATION;
D O I：
10.1134/S1995080220090036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the second boundary-value problem for a third-order equation with multiple characteristics containing the second derivative with respect to time in a rectangular domain. Uniqueness of the solution is proved by the energy integral method. The Green's function is constructed for the second boundary-value problem, through which an explicit solution of the problem is written.
引用
收藏
页码：1754 / 1761
页数：8
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