SOLUTION AND CONSTRUCTION OF INVERSE PROBLEM FOR STURM-LIOUVILLE EQUATIONS WITH FINITELY MANY POINT <i>δ</i>-INTERACTIONS

Bayram Bala; Manaf Dzh. Manafov; Abdullah Kablan

doi:10.11948/20220287

2023 Volume 13 Issue 1

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Bayram Bala, Manaf Dzh. Manafov, Abdullah Kablan. SOLUTION AND CONSTRUCTION OF INVERSE PROBLEM FOR STURM-LIOUVILLE EQUATIONS WITH FINITELY MANY POINT δ-INTERACTIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 458-469. doi: 10.11948/20220287

Citation:

Bayram Bala, Manaf Dzh. Manafov, Abdullah Kablan. SOLUTION AND CONSTRUCTION OF INVERSE PROBLEM FOR STURM-LIOUVILLE EQUATIONS WITH FINITELY MANY POINT δ-INTERACTIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(1): 458-469. doi: 10.11948/20220287

SOLUTION AND CONSTRUCTION OF INVERSE PROBLEM FOR STURM-LIOUVILLE EQUATIONS WITH FINITELY MANY POINT δ-INTERACTIONS

1.
Faculty of Engineering and Natural Sciences, Department of Fundamental Sciences, Gaziantep Islamic Science and Technology University, 27010 Gaziantep, Turkey
2.
Faculty of Arts and Sciences, Department of Mathematics, Adıyaman University, 02040 Adıyaman, Turkey
Institute of Mathematics and Mechanics, Azerbaijan National Academy of Science, AZ1141 Baku, Azerbaijan
3.
Faculty of Arts and Sciences, Department of Mathematics, Gaziantep University, 27310 Gaziantep, Turkey

Corresponding author: Email: mmanafov@adiyaman.edu.tr (M. Dzh. Manafov)

Abstract

Abstract

The goal of this paper is to reconstruct a one kind of Sturm-Liouville problem from its spectral properties. We considered the inverse spectral problems for a Sturm-Liouville equations with finitely many delta-interactions. We obtain the effective method and its steps to find the solution of the inverse problems and then we will give an example to illustrate this method.
- Inverse problems /
- Sturm-Liouville equation /
- Point δ-interactions
MSC: 34A55, 34B24, 47E05

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References

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