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...
Saved in:
| Date: | 2004 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2004
|
| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164273 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |