Nonoscillatory half-linear difference equations and recessive solutions
<p/> <p>Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the "smallest solutions in a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2005-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2005/676580 |
| _version_ | 1818353557923954688 |
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| author | Došlá Zuzana Cecchi Mariella Marini Mauro |
| author_facet | Došlá Zuzana Cecchi Mariella Marini Mauro |
| author_sort | Došlá Zuzana |
| collection | DOAJ |
| description | <p/> <p>Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the "smallest solutions in a neighborhood of infinity," like in the linear case. Other asymptotic properties of recessive and dominant solutions are treated too.</p> |
| first_indexed | 2024-12-13T19:11:26Z |
| format | Article |
| id | doaj.art-9bf1188211444419b771af3670567e5c |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-13T19:11:26Z |
| publishDate | 2005-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-9bf1188211444419b771af3670567e5c2022-12-21T23:34:24ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472005-01-0120052676580Nonoscillatory half-linear difference equations and recessive solutionsDošlá ZuzanaCecchi MariellaMarini Mauro<p/> <p>Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the "smallest solutions in a neighborhood of infinity," like in the linear case. Other asymptotic properties of recessive and dominant solutions are treated too.</p>http://www.advancesindifferenceequations.com/content/2005/676580 |
| spellingShingle | Došlá Zuzana Cecchi Mariella Marini Mauro Nonoscillatory half-linear difference equations and recessive solutions Advances in Difference Equations |
| title | Nonoscillatory half-linear difference equations and recessive solutions |
| title_full | Nonoscillatory half-linear difference equations and recessive solutions |
| title_fullStr | Nonoscillatory half-linear difference equations and recessive solutions |
| title_full_unstemmed | Nonoscillatory half-linear difference equations and recessive solutions |
| title_short | Nonoscillatory half-linear difference equations and recessive solutions |
| title_sort | nonoscillatory half linear difference equations and recessive solutions |
| url | http://www.advancesindifferenceequations.com/content/2005/676580 |
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