Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient
| dc.contributor.author | Guseinov,G.Sh. | |
| dc.contributor.author | Karaca,I.Y. | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T15:42:00Z | |
| dc.date.available | 2024-07-05T15:42:00Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | In this paper, we obtain asymptotic formulas for eigenvalues of the periodic and the semiperiodic boundary value problems associated with a Hill's equation having piecewise constant and alternating coefficient. As a corollary, it is shown that the lengths of instability intervals of the considered Hill's equation tend to infinity. © 2004 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/s0898-1221(04)90027-2 | |
| dc.identifier.issn | 0898-1221 | |
| dc.identifier.scopus | 2-s2.0-1242307414 | |
| dc.identifier.uri | https://doi.org/10.1016/s0898-1221(04)90027-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/3529 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Ltd | en_US |
| dc.relation.ispartof | Computers and Mathematics with Applications | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Eigenvalue | en_US |
| dc.subject | Hill's equation | en_US |
| dc.subject | Stability | en_US |
| dc.title | Instability Intervals of a Hill's Equation With Piecewise Constant and Alternating Coefficient | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Hüseyin, Hüseyin Şirin | |
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| gdc.coar.access | open access | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | Guseinov G.Sh., Department of Mathematics, Atilim University, 06836 Incek, Ankara, Turkey; Karaca I.Y., Department of Mathematics, Ege University, 35100 Bornova, Izmir, Turkey | en_US |
| gdc.description.endpage | 326 | en_US |
| gdc.description.issue | 2-3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.startpage | 319 | en_US |
| gdc.description.volume | 47 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2030201598 | |
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| gdc.oaire.keywords | Computational Mathematics | |
| gdc.oaire.keywords | Hill's equation | |
| gdc.oaire.keywords | Computational Theory and Mathematics | |
| gdc.oaire.keywords | Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators | |
| gdc.oaire.keywords | Modelling and Simulation | |
| gdc.oaire.keywords | Eigenvalue | |
| gdc.oaire.keywords | eigenvalue | |
| gdc.oaire.keywords | Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators | |
| gdc.oaire.keywords | stability | |
| gdc.oaire.keywords | Stability | |
| gdc.oaire.keywords | Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) | |
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