| Title:
|
The $l^p$ trichotomy for difference systems and applications (English) |
| Author:
|
Matucci, Serena |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
519-529 |
| . |
| Category:
|
math |
| . |
| MSC:
|
39A10 |
| MSC:
|
39A11 |
| MSC:
|
39A12 |
| idZBL:
|
Zbl 1090.39501 |
| idMR:
|
MR1822822 |
| . |
| Date available:
|
2008-06-06T22:27:27Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107767 |
| . |
| Reference:
|
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| Reference:
|
2. Alonso A. I., Hong J., Obaya R.: Exponential Dichotomy and Trichotomy of Difference Equations.J. Comput. Math. Appl., 38 (1999), 41–49. MR 1697341 |
| Reference:
|
3. Cecchi M., Došlá Z., Marini M.: Positive Decreasing Solutions of Quasilinear Difference Equations.to appear (2001). MR 1861536 |
| Reference:
|
4. Cecchi M., Marini M., Zezza P. L.: Asymptotic Properties of the Solutions of Nonlinear Equations with Dichotomies and Applications.Boll. U.M.I., Analisi Funz. Appl., Serie IV, 1 (1982), 209–234. MR 0696272 |
| Reference:
|
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| Reference:
|
6. Coppel W. A.: Stability and Asymptotic Behavior of Differential Equations.Heat Math. Monograph, Boston, 1965. Zbl 0154.09301, MR 0190463 |
| Reference:
|
7. Coppel W. A.: Dichotomies in Stability Theory.Lecture Notes in Math. Vol. 629, Springer-Verlag, Berlin, 1978. Zbl 0376.34001, MR 0481196 |
| Reference:
|
8. Elaydi S., Hajek O.: Exponential Trichotomy of Differential Systems.J. Math. Anal. Appl., 129 (1988), 362–374. Zbl 0651.34052, MR 0924294 |
| Reference:
|
9. Elaydi S., Janglajew K.: Dichotomy and Trichotomy of Difference Equations.J. Difference Equations Appl., 3 (1998), 417–448. Zbl 0914.39013, MR 1618103 |
| Reference:
|
10. Medina R., Pinto M.: Dichotomies and Asymptotic Equivalence of Nonlinear Difference Systems.J. Difference Equations Appl., 5, (1999), 287–303. Zbl 0973.39008, MR 1697061 |
| Reference:
|
11. Papaschinopoulos G.: On Exponential Trichotomy of Linear Difference Equations.Appl. Anal., 40 (1991), 89–109. Zbl 0687.39003, MR 1095407 |
| Reference:
|
12. Papaschinopoulos G., Schinas J.: A Criterion for the Exponential Dichotomy of Difference Equations.Rend. Sem. Fac. Sci. Univ. Cagliari, 54, (1), (1984), 61–71. Zbl 0607.39001, MR 0797224 |
| Reference:
|
13. Papaschinopoulos G., Schinas J.: Criteria for an Exponential Dichotomy of Difference Equations.Czechoslovak Math. J., 35 (1985), 295–299. Zbl 0693.39001, MR 0787131 |
| Reference:
|
14. Papaschinopoulos G., Schinas J.: Conditions for Exponential Dichotomy of Difference Equations.Rad. Mat., 1, (1), (1985), 9–24. Zbl 0589.39001, MR 0791743 |
| Reference:
|
15. Sacher R. J., Sell G. R.: Existence of Dichotomies and Invariant splittings for Linear Differential Systems, III.J. Differential Eq. 22 (1976), 497–522. MR 0440621 |
| Reference:
|
16. Talpalaru P.: Asymptotic Relationship Between Solutions of Two Systems of Difference Equations.Bul. Inst. Politechnic Iasi, XXI (XXV), f. 3–4, Sect. I (1975), 49–58. Zbl 0347.39002, MR 0397218 |
| Reference:
|
17. Talpalaru P.: On Stability of Difference Systems.An. St. Univ. “Al. I. Cuza” Iasi, XXIII Sect. I (1) (1977), 71–76. Zbl 0378.39001, MR 0457984 |
| Reference:
|
18. Talpalaru P.: Asymptotic Properties of the Solutions of Difference Systems via $l^p$ - Dichotomy.An. St. Univ. “Al. I. Cuza” Iasi, XXXVII Sect. I (2) (1991), 165–172. MR 1246871 |
| . |
