Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients
We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. We compute this oscillation constant explicitly. If the almost period...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/471435 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566778004242432 |
|---|---|
| author | Petr Hasil Michal Veselý |
| author_facet | Petr Hasil Michal Veselý |
| author_sort | Petr Hasil |
| collection | DOAJ |
| description | We investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. We compute this oscillation constant explicitly. If the almost periodic coefficients are replaced by constants, our result reduces to the well-known result about the discrete Euler equation. |
| format | Article |
| id | doaj-art-a7565671da334610a23db46ce20e2394 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a7565671da334610a23db46ce20e23942025-02-03T01:03:19ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/471435471435Critical Oscillation Constant for Difference Equations with Almost Periodic CoefficientsPetr Hasil0Michal Veselý1Department of Mathematics, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czech RepublicDepartment of Mathematics and Statistics, Masaryk University, Kotlářská 2, 611 37 Brno, Czech RepublicWe investigate a type of the Sturm-Liouville difference equations with almost periodic coefficients. We prove that there exists a constant, which is the borderline between the oscillation and the nonoscillation of these equations. We compute this oscillation constant explicitly. If the almost periodic coefficients are replaced by constants, our result reduces to the well-known result about the discrete Euler equation.http://dx.doi.org/10.1155/2012/471435 |
| spellingShingle | Petr Hasil Michal Veselý Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients Abstract and Applied Analysis |
| title | Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients |
| title_full | Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients |
| title_fullStr | Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients |
| title_full_unstemmed | Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients |
| title_short | Critical Oscillation Constant for Difference Equations with Almost Periodic Coefficients |
| title_sort | critical oscillation constant for difference equations with almost periodic coefficients |
| url | http://dx.doi.org/10.1155/2012/471435 |
| work_keys_str_mv | AT petrhasil criticaloscillationconstantfordifferenceequationswithalmostperiodiccoefficients AT michalvesely criticaloscillationconstantfordifferenceequationswithalmostperiodiccoefficients |