Abstract
We study regular boundary value problems for ordinary differential equations with a variable complex - valued coefficient at the principal term of the equation. Simple algebraic conditions on the coefficient that guarantee that a system of root functions of such boundary value problems forms an Abel basis have been found.
| Original language | English |
|---|---|
| Pages (from-to) | 157-187 |
| Number of pages | 31 |
| Journal | Mathematische Nachrichten |
| Volume | 197 |
| DOIs | |
| State | Published - 1999 |
Keywords
- Abel basis
- Functional condition
- Operator pencil
- Ordinary differential equation
- Root functions