On a Maximal Number of Period Annuli
We consider equation x′′+g(x)=0, where g(x) is a polynomial, allowing the equation to have multiple period annuli. We detect the maximal number of possible period annuli for polynomials of odd degree and show how the respective optimal polynomials can be constructed.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/393875 |
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| _version_ | 1849472730134478848 |
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| author | Yelena Kozmina Felix Sadyrbaev |
| author_facet | Yelena Kozmina Felix Sadyrbaev |
| author_sort | Yelena Kozmina |
| collection | DOAJ |
| description | We consider equation x′′+g(x)=0, where g(x) is a polynomial,
allowing the equation to have multiple period annuli. We detect the
maximal number of possible period annuli for polynomials of odd degree and
show how the respective optimal polynomials can be constructed. |
| format | Article |
| id | doaj-art-dd1be744a0fa4bdf95f5168472135e1a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dd1be744a0fa4bdf95f5168472135e1a2025-08-20T03:24:26ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/393875393875On a Maximal Number of Period AnnuliYelena Kozmina0Felix Sadyrbaev1Information Systems and Management Institute, Ludzas Street 91, 1019 Riga, LatviaInstitute of Mathematics and Computer Science, University of Latvia Rainis Boulevard 29, 1459 Riga, LatviaWe consider equation x′′+g(x)=0, where g(x) is a polynomial, allowing the equation to have multiple period annuli. We detect the maximal number of possible period annuli for polynomials of odd degree and show how the respective optimal polynomials can be constructed.http://dx.doi.org/10.1155/2011/393875 |
| spellingShingle | Yelena Kozmina Felix Sadyrbaev On a Maximal Number of Period Annuli Abstract and Applied Analysis |
| title | On a Maximal Number of Period Annuli |
| title_full | On a Maximal Number of Period Annuli |
| title_fullStr | On a Maximal Number of Period Annuli |
| title_full_unstemmed | On a Maximal Number of Period Annuli |
| title_short | On a Maximal Number of Period Annuli |
| title_sort | on a maximal number of period annuli |
| url | http://dx.doi.org/10.1155/2011/393875 |
| work_keys_str_mv | AT yelenakozmina onamaximalnumberofperiodannuli AT felixsadyrbaev onamaximalnumberofperiodannuli |