Asymptotics of the spectrum of the Sturm-Liouville operator with regular boundary conditions |
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| Authors: | A. S. Makin |
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| Affiliation: | 1. Moscow State University of Mechanical Engineering and Computer Science, Moscow, Russia
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| Abstract: | On the interval (0, π), we consider the spectral problem generated by the Sturm-Liouville operator with regular but not strongly regular boundary conditions. For an arbitrary potential q(x) ∈ L 1 (0, π) [q(x) ∈ L 2(0, π)], we establish exact asymptotic formulas for the eigenvalues of this problem. |
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