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The inverse problem for differential pencils on a star-shaped graph with mixed spectral data |
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| Authors: | Wang Yu Ping Bondarenko Natalia Shieh Chung Tsun |
| Affiliation: | 1.Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, China ;2.Department of Applied Mathematics and Physics, Samara National Research University, Samara, 443086, Russia ;3.Department of Mathematics, Tamkang University, New Taipei City, 25137, China ; |
| Abstract: | The partial inverse problem for differential pencils on a star-shaped graph is studied from mixed spectral data.More precisely,we show that if the potentials on all edges on the star-shaped graph but one are known a priori then the unknown potential on the remaining edge can be uniquely determined by partial information on the potential and a part of eigenvalues. |
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