| Title:
|
On some specific nonlinear ordinary difference equations (English) |
| Author:
|
Petropoulou, Eugenia N. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
549-562 |
| . |
| Category:
|
math |
| . |
| MSC:
|
32H02 |
| MSC:
|
39A10 |
| MSC:
|
39A11 |
| idZBL:
|
Zbl 1090.39502 |
| idMR:
|
MR1822825 |
| . |
| Date available:
|
2008-06-06T22:27:36Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107770 |
| . |
| Reference:
|
1. R. P. Agarwal P. J. Y. Wong: Advanced Topics in Difference Equations.Kluwer Academic Publishers, 1997. MR 1447437 |
| Reference:
|
2. C.J. Earle R.S. Hamilton: A fixed point theorem for holomorphic mappings.in Global Analysis Proceedings Symposium Pure Mathematics XVI, Berkeley, California, (1968), 61–65, American Mathematical Society, Providence, R.I., (1970). MR 0266009 |
| Reference:
|
3. J. Feuer E. J. Janowski G. Ladas: Invariants for Some Rational Recursive Sequences with Periodic Coeffcients.J. Diff. Equat. Appl. 2 (1996), 167–174. MR 1384566 |
| Reference:
|
4. E. A. Grove E. J. Janowski C. M. Kent G. Ladas: On the Rational Recursive Sequence $x_{n+1} = \frac{\alpha x_n + \beta}{(\gamma x_n \delta) x_{n-1}}$.Commun. Appl. Nonlinear Analysis 1 (1994), 61–72. MR 1295493 |
| Reference:
|
5. E. A. Grove C. M. Kent G. Ladas: Boundedness and Persistence of the Nonautonomous Lyness and Max Equations.J. Diff. Equat. Appl. 3 (1998), 241–258. MR 1616018 |
| Reference:
|
6. E.K. Ifantis: On the convergence of Power-Series Whose Coeffcients Satisfy a Poincaré-Type Linear and Nonlinear Difference Equation.Complex Variables 9 (1987), 63–80. MR 0916917 |
| Reference:
|
7. G. Karakostas C. G. Philos Y. G. Sficas: The dynamics of some discrete population models.Nonlinear Analysis, Theory, Methods and Applications 17 (11) (1991), 1069–1084. MR 1136230 |
| Reference:
|
8. Li Longtu: Global asymptotic stability of $x_{n+1} = F (x_n) g(x_{n−1})$.Ann. Diff. Equat, 14 (3) (1998), 518–525. Zbl 0963.39006, MR 1663227 |
| Reference:
|
9. E.N. Petropoulou P.D. Siafarikas: Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane.Arch. Math. (Brno) 36 (2) (2000), 139–158. MR 1761618 |
| Reference:
|
10. E.N. Petropoulou P.D. Siafarikas: Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane II.Comp. Math. Appl. (Advances in Difference Equations III), (to appear). MR 1838005 |
| Reference:
|
11. I. A. Polyrakis: Lattice Banach spaces, order-isomorphic to $l_1$.Math. Proc. Camb. Phil. Soc. 94 (1983), 519–522. MR 0720802 |
| Reference:
|
12. R. Y. Zhang Z. C. Wang Y. Chen J. Wu: Periodic solutions of a single species discrete population model with periodic harvest/stock.Comp. Math. Appl. 39 (1-2) (2000), 77–90. MR 1729420 |
| . |
