Asymptotic behavior of solutions of a nonlinear difference equation with continuous argument
We consider the difference equation with continuous argument x(t+2)−2λx(t+1)+λ²x(t)=f(t,x(t)), where λ > 0, t ∈ [0, ∞), and f: [0, ∞) × R → R. Conditions for the existence and uniqueness of continuous asymptotically periodic solutions of this equation are given. We also prove the following re...
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| Veröffentlicht in: | Український математичний журнал |
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| Datum: | 2004 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2004
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| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/164273 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Asymptotic behavior of solutions of a nonlinear difference equation with continuous argument / S. Stevic // Український математичний журнал. — 2004. — Т. 56, № 8. — С. 1095–1100. — Бібліогр.: 12 назв. — англ. |