Boundary-value problems for some higher-order nonclassical differential equations

被引：0
|
作者：
A. I. Kozhanov
N. R. Pinigina
机构：
[1] Siberian Branch of the Russian Academy of Sciences,Sobolev Institute of Mathematics
[2] Ammosov Northeast Federal University,FSAEI of Higher Professional Education
来源：
Mathematical Notes | 2017年 / 101卷
关键词：
quasihyperbolic equations; boundary-value problems; regular solutions; existence; uniqueness;
D O I：
暂无
中图分类号：
学科分类号：
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)pDt2pu = 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.
引用
收藏
页码：467 / 474
页数：7
相关论文
共 50 条
12345