On Spectral Asymptotics of the Neumann Problem for the Sturm-Liouville Equation with Self-Similar Weight of Generalized Cantor Type
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 605523614 | ||
| 003 | CHVBK | ||
| 005 | 20210128100750.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2592-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2592-1 | ||
| 100 | 1 | |a Rastegaev |D N. |u St.Petersburg State University, St.Petersburg, Russia |4 aut | |
| 245 | 1 | 0 | |a On Spectral Asymptotics of the Neumann Problem for the Sturm-Liouville Equation with Self-Similar Weight of Generalized Cantor Type |h [Elektronische Daten] |c [N. Rastegaev] |
| 520 | 3 | |a Spectral asymptotics of the weighted Neumann problem for the Sturm-Liouville equation is considered. The weight is assumed to be the distributional derivative of a self-similar generalized Cantor type function. The spectrum is shown to have a periodicity property for a wide class of Cantor type self-similar functions. A weaker "quasiperiodicity” property is established under certain mixed boundary-value conditions. This allows for a more precise description of the main term of the eigenvalue counting function asymptotics. Previous results by A. A. Vladimirov and I. A. Sheipak are generalized. Bibliography: 17 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/6(2015-11-01), 814-821 |x 1072-3374 |q 210:6<814 |1 2015 |2 210 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2592-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2592-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Rastegaev |D N. |u St.Petersburg State University, St.Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 210/6(2015-11-01), 814-821 |x 1072-3374 |q 210:6<814 |1 2015 |2 210 |o 10958 | ||