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An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator.
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2021, Vol. 494 Issue 2, pN.PAG-N.PAG. 1p. - Publication Year :
- 2021
-
Abstract
- This paper is concerned with the inverse eigenvalue problem for a nonlocal Sturm-Liouville operator generated by its rank one perturbations. We give a necessary and sufficient condition that a sequence of real numbers is the spectrum of a nonlocal Sturm-Liouville operator, provided that the potential is known a priori. An explicit algorithm for constructing all such operators is also provided. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 494
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 146587654
- Full Text :
- https://doi.org/10.1016/j.jmaa.2020.124661