Open Access

Expansion in eigenfunctions of relations generated by pair of operator differential expressions

Abstract

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.

Article Information

 Title Expansion in eigenfunctions of relations generated by pair of operator differential expressions Source Methods Funct. Anal. Topology, Vol. 15 (2009), no. 2, 137-151 MathSciNet MR2553530 Copyright The Author(s) 2009 (CC BY-SA)

Authors Information

Volodymyr Khrabustovskyi
Ukrainian State Academy of Railway Transport, 7 Feyerbakh square, Kharkiv, 61050, Ukraine

Citation Example

Volodymyr Khrabustovskyi, Expansion in eigenfunctions of relations generated by pair of operator differential expressions, Methods Funct. Anal. Topology 15 (2009), no. 2, 137-151.

BibTex

@article {MFAT517,
AUTHOR = {Khrabustovskyi, Volodymyr},
TITLE = {Expansion in eigenfunctions of relations generated by pair of operator differential expressions},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {15},
YEAR = {2009},
NUMBER = {2},
PAGES = {137-151},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=517},
}