Left-definite problems of regular self-adjoint differential equations of even order

✍ Scribed by Guangsheng Wei; Hong-Kun Xu

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 153 KB
• Volume: 284
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200710195

✦ Synopsis

Abstract

The left‐definite boundary conditions of the problem consisting of a regular formally self‐adjoint differential equation of even order and a self‐adjoint boundary condition are characterized in terms of a certain fundamental set of solutions of the equation. Based on the left‐definite boundary conditions, all the left‐definite spaces of the problem are described explicitly. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim