The l p trichotomy for difference systems and applications

Serena Matucci

Archivum Mathematicum (2000)

  • Volume: 036, Issue: 5, page 519-529
  • ISSN: 0044-8753

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Matucci, Serena. "The $l^p$ trichotomy for difference systems and applications." Archivum Mathematicum 036.5 (2000): 519-529. <http://eudml.org/doc/248521>.

@article{Matucci2000,
author = {Matucci, Serena},
journal = {Archivum Mathematicum},
keywords = {nonlinear difference systems; asymptotic behavior of solutions; trichotomy},
language = {eng},
number = {5},
pages = {519-529},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The $l^p$ trichotomy for difference systems and applications},
url = {http://eudml.org/doc/248521},
volume = {036},
year = {2000},
}

TY - JOUR
AU - Matucci, Serena
TI - The $l^p$ trichotomy for difference systems and applications
JO - Archivum Mathematicum
PY - 2000
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 036
IS - 5
SP - 519
EP - 529
LA - eng
KW - nonlinear difference systems; asymptotic behavior of solutions; trichotomy
UR - http://eudml.org/doc/248521
ER -

References

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  2. 2. Alonso A. I., Hong J., Obaya R., Exponential Dichotomy and Trichotomy of Difference Equations, J. Comput. Math. Appl., 38 (1999), 41–49. (1999) MR1697341
  3. 3. Cecchi M., Došlá Z., Marini M., Positive Decreasing Solutions of Quasilinear Difference Equations, to appear (2001). MR1861536
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  5. 5. Conti R., Linear Differential Equations and Control, Instit. Math. Vol. 1, Acad. Press, New York, 1976. (1976) Zbl0356.34007MR0513642
  6. 6. Coppel W. A., Stability and Asymptotic Behavior of Differential Equations, Heat Math. Monograph, Boston, 1965. (1965) Zbl0154.09301MR0190463
  7. 7. Coppel W. A., Dichotomies in Stability Theory, Lecture Notes in Math. Vol. 629, Springer-Verlag, Berlin, 1978. (1978) Zbl0376.34001MR0481196
  8. 8. Elaydi S., Hajek O., Exponential Trichotomy of Differential Systems, J. Math. Anal. Appl., 129 (1988), 362–374. (1988) Zbl0651.34052MR0924294
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  10. 10. Medina R., Pinto M., Dichotomies and Asymptotic Equivalence of Nonlinear Difference Systems, J. Difference Equations Appl., 5, (1999), 287–303. (1999) Zbl0973.39008MR1697061
  11. 11. Papaschinopoulos G., On Exponential Trichotomy of Linear Difference Equations, Appl. Anal., 40 (1991), 89–109. (1991) Zbl0687.39003MR1095407
  12. 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. (1984) Zbl0607.39001MR0797224
  13. 13. Papaschinopoulos G., Schinas J., Criteria for an Exponential Dichotomy of Difference Equations, Czechoslovak Math. J., 35 (1985), 295–299. (1985) Zbl0693.39001MR0787131
  14. 14. Papaschinopoulos G., Schinas J., Conditions for Exponential Dichotomy of Difference Equations, Rad. Mat., 1, (1), (1985), 9–24. (1985) Zbl0589.39001MR0791743
  15. 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. (1976) MR0440621
  16. 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. (1975) Zbl0347.39002MR0397218
  17. 17. Talpalaru P., On Stability of Difference Systems, An. St. Univ. “Al. I. Cuza” Iasi, XXIII Sect. I (1) (1977), 71–76. (1977) Zbl0378.39001MR0457984
  18. 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. (1991) MR1246871

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