An inverse problem for the hyperbolic conditional discrete Sturm-Liouville operator with Levinson type formula
Abstract
In this work, an inverse problem for discrete Sturm-Liouville operator with hyperbolic eigenparameter dependent boundary condition is studied. Following the finding scattering function and the main equation of this problem, the uniqueness of the solution is proven. Finally, an appropriate Levinson type formula is derived.
Keywords
References
- [1] R.P. Agarwal, Difference Equation and Inequalities: Theory, Methods and Applications, Marcel Dekkar Inc, New York, Basel, 2000.
Details
Primary Language
English
Subjects
Ordinary Differential Equations, Difference Equations and Dynamical Systems
Journal Section
Research Article
Authors
Early Pub Date
December 30, 2025
Publication Date
December 30, 2025
Submission Date
April 3, 2025
Acceptance Date
November 26, 2025
Published in Issue
Year 2026 Number: Advanced Online Publication
APA
Köprübaşı, T. (2025). An inverse problem for the hyperbolic conditional discrete Sturm-Liouville operator with Levinson type formula. Hacettepe Journal of Mathematics and Statistics, Advanced Online Publication. https://doi.org/10.15672/hujms.1669663
AMA
1.Köprübaşı T. An inverse problem for the hyperbolic conditional discrete Sturm-Liouville operator with Levinson type formula. Hacettepe Journal of Mathematics and Statistics. 2025;(Advanced Online Publication). doi:10.15672/hujms.1669663
Chicago
Köprübaşı, Turhan. 2025. “An Inverse Problem for the Hyperbolic Conditional Discrete Sturm-Liouville Operator With Levinson Type Formula”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication. https://doi.org/10.15672/hujms.1669663.
EndNote
Köprübaşı T (December 1, 2025) An inverse problem for the hyperbolic conditional discrete Sturm-Liouville operator with Levinson type formula. Hacettepe Journal of Mathematics and Statistics Advanced Online Publication
IEEE
[1]T. Köprübaşı, “An inverse problem for the hyperbolic conditional discrete Sturm-Liouville operator with Levinson type formula”, Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, Dec. 2025, doi: 10.15672/hujms.1669663.
ISNAD
Köprübaşı, Turhan. “An Inverse Problem for the Hyperbolic Conditional Discrete Sturm-Liouville Operator With Levinson Type Formula”. Hacettepe Journal of Mathematics and Statistics. Advanced Online Publication (December 1, 2025). https://doi.org/10.15672/hujms.1669663.
JAMA
1.Köprübaşı T. An inverse problem for the hyperbolic conditional discrete Sturm-Liouville operator with Levinson type formula. Hacettepe Journal of Mathematics and Statistics. 2025. doi:10.15672/hujms.1669663.
MLA
Köprübaşı, Turhan. “An Inverse Problem for the Hyperbolic Conditional Discrete Sturm-Liouville Operator With Levinson Type Formula”. Hacettepe Journal of Mathematics and Statistics, no. Advanced Online Publication, Dec. 2025, doi:10.15672/hujms.1669663.
Vancouver
1.Turhan Köprübaşı. An inverse problem for the hyperbolic conditional discrete Sturm-Liouville operator with Levinson type formula. Hacettepe Journal of Mathematics and Statistics. 2025 Dec. 1;(Advanced Online Publication). doi:10.15672/hujms.1669663