| On the Hochstadt–Lieberman Theorem for Discontinuous Boundary-valued Problems |
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| 基金项目： | The authors would like to express gratitude to anonymous referees for careful examination and valuable suggestions. |
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| 摘 要： | In this paper, we discuss the half inverse problem for Sturm–Liouville equations with boundary conditions dependent on the spectral parameter and a finite number of discontinuities inside the interval and prove the Hochstadt–Liberman type theorem for the above boundary-valued problem.
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| 关 键 词： | 边界值问题 Liouville方程 定理 时间间隔 频谱参数 边界条件 逆问题 有限数 |
On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems |
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| Authors: | Yu Ping Wang Hikmet Koyunbakan |
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| Institution: | 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, P. R. China
2. Department of Mathematics, Firat University, 23119, Elazig, Turkey
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| Abstract: | In this paper, we discuss the half inverse problem for Sturm-Liouville equations with boundary conditions dependent on the spectral parameter and a finite number of discontinuities inside the interval and prove the Hochstadt-Liberman type theorem for the above boundary-valued problem. |
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| Keywords: | Half inverse problem Sturm–Liouville operator potential interior discontinuity boundary condition dependent on the spectral parameter |
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