| Title:
|
Asymptotic properties of solutions of second-order difference equations (English) |
| Author:
|
Morchało, Jarosław |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
38 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
15-26 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-point theorem we study problem asymptotic equivalence of second order difference equations. (English) |
| Keyword:
|
asymptotic equivalence |
| Keyword:
|
difference inequalities |
| MSC:
|
39A10 |
| idZBL:
|
Zbl 1087.39003 |
| idMR:
|
MR1899564 |
| . |
| Date available:
|
2008-06-06T22:29:38Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107815 |
| . |
| Reference:
|
[1] Brauer, F., Wang, J. S.: On the asymptotic relationship between solutions of two systems of ordinary differential equation.J. Differential Equations 6 (1969), 527–543. MR 0252765 |
| Reference:
|
[2] Hallam, T. G.: Asymptotic relationskips between the solutions of two second order differential equations.Ann. Polon. Math. 24 (1971), 295–300. MR 0301316 |
| Reference:
|
[3] Lakshmikantham, V., Leela, S.: Differential and Integral Ineqalities.vol. I, New York and London, Academic Press 1969. |
| Reference:
|
[4] Morchało, J.: Asymptotic equivalence of Volterra difference systems.Publ. Mat. 39 (1995), 301–312. MR 1370888 |
| Reference:
|
[5] Morchało, J.: Asymptotic equivalence of difference equations.Math. Slovaca 48 (1998), 57–68. MR 1635239 |
| Reference:
|
[6] Morchało, J.: Asymptotic equivalence of second-order difference equations.J. Math. Anal. Appl. 238 (1999), 91–100. MR 1711480 |
| Reference:
|
[7] Onuchic, N.: Relationship among the solutions of two systems or ordinary differential equation.Michigan Math. J. 10 (1963), 129–139. MR 0165192 |
| Reference:
|
[8] Ráb, M.: Asymptotic relationships between the solutions of two systems of differential equations.Ann. Polon. Math. 30 (1974), 119–124. MR 0355217 |
| Reference:
|
[9] Svec, M.: Asymptotic relationship between solutions of two systems of differential equations.Czechoslovak Math. J. 24 (99), No. 1 (1974), 44–58. Zbl 0322.34037, MR 0348202 |
| Reference:
|
[10] Talpalaru, P.: Asymptotic behaviour of perturbed difference equations.Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Ser. VIIILXIV (1979), 563–571. Zbl 0441.39006, MR 0561940 |
| Reference:
|
[11] Kuben, J.: Asymptotic equivalence of second order differential equations.Czechoslovak Math. J. 34 (109) (1984), 189–201. Zbl 0555.34048, MR 0743485 |
| . |
