Abel Basis of Root Functions of Regular Boundary Value Problems

Abel Basis of Root Functions of Regular Boundary Value Problems

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...

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Veröffentlicht in:Mathematische Nachrichten 1999, Vol.197 (1), p.157-187
Hauptverfasser: Yakubov, Sasun, Yakubov, Yakov
Format: Artikel
Sprache:eng
Schlagworte:
Abel basis
functional condition
operator pencil
ordinary differential equation
root functions
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Beschreibung
Zusammenfassung: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.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.19991970110