Identification of the Domain of the Sturm–Liouville Operator on a Star Graph
Abstract
:1. Introduction
2. Solution of the Cauchy Problem for the Sturm–Liouville Equation on a Star Graph
3. Construction of a Biorthogonal System of Solutions for a Set of Boundary Conditions
4. An Equivalent Set of Boundary Forms That Have an Integral Form
5. Selection of Canonical Problems and the Statement of the Inverse Problem
6. A Uniqueness Theorem for Recovering Boundary Functions
7. Refinement of the Uniqueness Theorem in the Case of Boundary Value Problems
8. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Kanguzhin, B.; Aimal Rasa, G.H.; Kaiyrbek, Z. Identification of the Domain of the Sturm–Liouville Operator on a Star Graph. Symmetry 2021, 13, 1210. https://doi.org/10.3390/sym13071210
Kanguzhin B, Aimal Rasa GH, Kaiyrbek Z. Identification of the Domain of the Sturm–Liouville Operator on a Star Graph. Symmetry. 2021; 13(7):1210. https://doi.org/10.3390/sym13071210
Chicago/Turabian StyleKanguzhin, Baltabek, Ghulam Hazrat Aimal Rasa, and Zhalgas Kaiyrbek. 2021. "Identification of the Domain of the Sturm–Liouville Operator on a Star Graph" Symmetry 13, no. 7: 1210. https://doi.org/10.3390/sym13071210
APA StyleKanguzhin, B., Aimal Rasa, G. H., & Kaiyrbek, Z. (2021). Identification of the Domain of the Sturm–Liouville Operator on a Star Graph. Symmetry, 13(7), 1210. https://doi.org/10.3390/sym13071210