Degenerate Higher-Order Ordinary Differential Equations and Some of Their Applications

被引：0
|
作者：
Kozhanov, A. I. [1 ]
机构：
[1] Sobolev Inst Math, Novosibirsk, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 01期
关键词：
degenerate ordinary differential equation; boundary value problem; existence; uniqueness; partial differential equation not solved for the derivative;
D O I：
10.1134/S199508022204014X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The article consists of two parts. In the first of them, the solvability of boundary value problems for degenerate higher-order ordinary differential equations is studied. Existence and uniqueness theorems for regular solutions (solutions having all weak derivatives in the sense of S.L. Sobolev occurring in the corresponding equation) are proved. The results obtained are applied in the second part of the article to study the solvability of boundary value problems for some classes of differential equations not solved for the derivative with respect to the distinguished variable.
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页码：219 / 228
页数：10
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