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

 Title CONTINUITY OF EIGENVALUES IN WEAK TOPOLOGY FOR REGULAR STURM-LIOUVILLE PROBLEMS Publication Type Journal Article Year of Publication 2018 Authors XIE BING, GUO HONGJIE, LI JING Journal Dynamic Systems and Applications Volume 27 Issue 2 Start Page 353 Pagination 14 Date Published 04/2018 ISSN 1056-2176 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. PDF https://acadsol.eu/dsa/articles/27/2/9.pdf DOI 10.12732/dsa.v27i2.9 Refereed Designation Refereed