Convergence of expansions for eigenfunctions and asymptotics of the spectral data of the Sturm-Liouville problem
| Autor: | Pahlevanyan, A. A. |
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| Jazyk: | ruština |
| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Izv. Nats. Akad. Nauk Armenii Mat., 52, no. 6, (2017): 77-90 |
| Druh dokumentu: | Working Paper |
| Popis: | Uniform convergence of the expansion of an absolutely continuous function for eigenfunctions of the Sturm-Liouville problem $-y" + q \left( x \right) y = \mu y,$ $y \left(0\right)=0,$ $y\left( \pi \right)\cos \beta + y'\left( \pi \right)\sin \beta = 0,$ $\beta \in \left( 0, \pi \right)$ with summable potential $q \in L_{\mathbb{R}}^1 \left[0, \pi \right]$ is proved. This result is used to obtain more precise asymptotic formulae for eigenvalues and norming constants of this problem. Comment: 14 pages, in Russian |
| Databáze: | arXiv |
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