Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions

• Date: 2009
• ISSN: 1029-3531
• Main Author: Khrabustovskyi, V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5710
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Expansion in eigenfunctions of relations generated by pair of operator differential expressions / V. Khrabustovskyi // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 137-151. — Бібліогр.: 29 назв. — англ.

For relations generated by a pair of operator symmetric differential expressions, a class of generalized resolvents is found. These resolvents are integro-differential operators. The expansion in eigenfunctions of these relations is obtained.