The existence of positive solution of systems of Volterra nonlinear difference equations
In this paper, a classification scheme for the eventually positive solutions of a class of two-dimensional Volterra nonlinear difference equations is given in terms of asymptotic magnitudes. Some necessary as well as sufficient conditions for the existence of such solutions are provided, without a...
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| Published in: | Нелінійні коливання |
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| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/178065 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The existence of positive solution of systems of Volterra nonlinear difference equations / Jiang Zhu, X. Liu // Нелінійні коливання. — 2006. — Т. 9, № 1. — С. 37-47. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | In this paper, a classification scheme for the eventually positive solutions of a class of two-dimensional
Volterra nonlinear difference equations is given in terms of asymptotic magnitudes. Some necessary as
well as sufficient conditions for the existence of such solutions are provided, without any monotonicity
conditions on the nonlinear term.
Для згодом додатних розв’язкiв деякого класу двовимiрних вольтеррiвських нелiнiйних рiвнянь
наведено класифiкацiйну схему в термiнах умов на асимптотику. Наведено також деякi необхiднi i достатнi умови iснування таких розв’язкiв без вимоги монотонностi нелiнiйного члена.
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| ISSN: | 1562-3076 |