On the Kernel of a Two-Point Problem for a Partial Differential Equation of the Second Order in Time

被引：0

作者：

Nytrebych Z.М. ^{[1
]}

Malanchuk О.М. ^{[1
,2
]}

机构：

[1] “L’vivs’ka Politekhnika” National University, Lviv

[2] Danylo Halyts’kyi Lviv National Medical University, Lviv

来源：

Journal of Mathematical Sciences | 2019年 / 236卷 / 1期

关键词：

D O I：

10.1007/s10958-018-4096-2

中图分类号：

学科分类号：

摘要：

We study the problem for a homogeneous partial differential equation of the second order with respect to time with given homogeneous two-point conditions in this variable and, in general, of the infinite order in the other (space) variable. It is proved that the analyzed problem possesses solely the trivial solution if the characteristic determinant is not identically equal to zero. In the case where the set of zeros of the characteristic determinant of this problem is nonempty, we propose a method for the construction of nontrivial solutions of the problem. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：35 / 52

页数：17

共 20 条

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