Boundary-Value Problems for Some Higher-Order Nonclassical Differential Equations

被引：14
|
作者：
Kozhanov, A. I. [1 ]
Pinigina, N. R. [2 ]
机构：
[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk, Russia
[2] Ammosov Northeast Fed Univ, FSAEI Higher Profess Educ, Yakutsk, Russia
来源：
MATHEMATICAL NOTES | 2017年 / 101卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
quasihyperbolic equations; boundary-value problems; regular solutions; existence; uniqueness;
D O I：
10.1134/S0001434617030087
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper consists of two parts. The first part deals with the solvability of new boundary-value problems for the model quasihyperbolic equations (-1)(p)D(l)(2p)u = Au + f(x,t), where p > 1, for a self-adjoint second-order elliptic operator A. For the problems under study, the existence and uniqueness theorems are proved for regular solutions. In the second part, the results obtained in the first part are somewhat sharpened and generalized.
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页码：467 / 474
页数：8
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