Abel basis of root functions of regular boundary value problems

Authors
Yakubov, S Yakubov, Y
Citation
S. Yakubov et Y. Yakubov, Abel basis of root functions of regular boundary value problems, MATH NACHR, 197, 1999, pp. 157-187
Citations number
23
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
197
Year of publication
1999
Pages
157 - 187
Database
ISI
SICI code
0025-584X(1999)197:<157:ABORFO>2.0.ZU;2-U
Abstract
We study regular boundary value problems for ordinary differential equation s with a variable complex - valued coefficient at the principal term of the equation. Simple algebraic conditions on the coefficient that guarantee th at a system of root functions of such boundary value problems forms an Abel basis have been found.