Asymptotic to polynomials solutions for nonlinear differential equations
| dc.contributor.author | Philos, C. G. | en |
| dc.contributor.author | Purnaras, I. K. | en |
| dc.contributor.author | Tsamatos, P. C. | en |
| dc.date.accessioned | 2015-11-24T17:22:10Z | |
| dc.date.available | 2015-11-24T17:22:10Z | |
| dc.identifier.issn | 0362-546X | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12572 | |
| dc.rights | Default Licence | - |
| dc.subject | nonlinear differential equation | en |
| dc.subject | asymptotic behavior | en |
| dc.subject | asymptotic properties | en |
| dc.subject | asymptotic expansions | en |
| dc.subject | asymptotic to polynomials solutions | en |
| dc.subject | integrable coefficients | en |
| dc.subject | 2nd order | en |
| dc.subject | nonoscillatory solutions | en |
| dc.subject | deviating arguments | en |
| dc.subject | positive solutions | en |
| dc.subject | global existence | en |
| dc.subject | behavior | en |
| dc.subject | 2nd-order | en |
| dc.title | Asymptotic to polynomials solutions for nonlinear differential equations | en |
| heal.abstract | This article is concerned with solutions that behave asymptotically like polynomials for nth order (n > 1) nonlinear ordinary differential equations. For each given integer m with 1 less than or equal to m less than or equal to n - 1, sufficient conditions are presented in order that, for any real polynomial of degree at most m, there exists a solution which is asymptotic at infinity to this polynomial. Conditions are also given, which are sufficient for every solution to be asymptotic at infinity to a real polynomial of degree at most n - 1. The application of the results obtained to the special case of second order nonlinear differential equations leads to improved versions of the ones contained in the recent paper by Lipovan [Glasg. Math. J. 45 (2003) 179] and of other related results existing in the literature. (C) 2004 Elsevier Ltd. All tights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1016/J.Na.2004.08.011 | - |
| heal.identifier.secondary | <Go to ISI>://000225181100010 | - |
| heal.identifier.secondary | http://ac.els-cdn.com/S0362546X04003232/1-s2.0-S0362546X04003232-main.pdf?_tid=3849cb80-cf38-11e2-a2a0-00000aacb35d&acdnat=1370585294_2a8dbf1496dc29d00367943ea56f017f | - |
| heal.journalName | Nonlinear Analysis-Theory Methods & Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2004 | - |
| heal.publisher | Elsevier | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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