CONTINUITY OF EIGENVALUES IN WEAK TOPOLOGY FOR REGULAR STURM-LIOUVILLE PROBLEMS

TitleCONTINUITY OF EIGENVALUES IN WEAK TOPOLOGY FOR REGULAR STURM-LIOUVILLE PROBLEMS
Publication TypeJournal Article
Year of Publication2018
AuthorsXIE BING, GUO HONGJIE, LI JING
JournalDynamic Systems and Applications
Volume27
Issue2
Start Page353
Pagination14
Date Published04/2018
ISSN1056-2176
Abstract

This paper is concerned with the eigenvalue problems of SturmLiouville differential expressions with general separated boundary conditions. With the aid of properties of analytic functions, only under the standard integrability conditions, we obtain the continuity of eigenvalues in the weak topology of $L^1 [a, b]$ on all the coefficient functions of the differential expressions.

PDFhttps://acadsol.eu/dsa/articles/27/2/9.pdf
DOI10.12732/dsa.v27i2.9
Refereed DesignationRefereed