Inverse nodal problem for differential pencils |
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Authors: | S.A. Buterin Chung Tsun Shieh |
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Affiliation: | 1. Department of Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia;2. Department of Mathematics, Tamkang University, 151 Ying-chuan Road Tamsui, Taipei County, 25137, Taiwan, ROC |
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Abstract: | An inverse nodal problem is studied for the diffusion operator with real-valued coefficients on a finite interval with Dirichlet boundary conditions. The oscillation of the eigenfunctions corresponding to large modulus eigenvalues is established and an asymptotic of the nodal points is obtained. The uniqueness theorem is proved and a constructive procedure for solving the inverse problem is given. |
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