Skip to main content
Have a personal or library account? Click to login
On Exponential Trichotomy of Cocycles over Semiflows Cover

On Exponential Trichotomy of Cocycles over Semiflows

Annals of West University of Timisoara - Mathematics and Computer Science
Volume 52 (2014): Issue 1 (June 2014)
By:  and    
Open Access
|Dec 2014
References

References

  1. [1] L. Barreira and C. Valls, Stability of Nonautonomous Differential Equations, Springer, 1926, 2008
    Open DOISearch in Google Scholar
  2. [2] C. Chicone and Y. Latushkin, Evolution semigroups in dynamcal systems and differential equations, Providence, R.I. Amer. Math. Soc., 70, 1999
    Open DOISearch in Google Scholar
  3. [3] S. N. Chow and H. Leiva, Existence and roughness of the exponential dichotomy for linear skew-product semi ows in Banach spaces, J. Differential Equations, 120, (1994), 429{477
    Open DOISearch in Google Scholar
  4. [4] S. N. Chow and H. Leiva, Two definitions of exponential dichotomy for skew- product semi ow in Banach spaces, Proc. Amer. Math. Soc., 124, (1996), 1071{1081
    Open DOISearch in Google Scholar
  5. [5] S. Elaydi and O. Hajek, Exponential trichotomy of differential systems, J. Math. Anal. Appl., 129, (1988), 362-374
    Open DOISearch in Google Scholar
  6. [6] Y. Latushkin and R. Schnaubelt, Evolution semigroups, translation algebras and exponential dichotomy of cocycles, J. Differential Equations, 159, (1999), 321{369
    Open DOISearch in Google Scholar
  7. [7] M. Megan, C. Stoica, and L. Buliga, Trichotomy for linear skew-product semi- ows, Applied Analysis and Differential Equations, (2007), 227{236
    Open DOISearch in Google Scholar
  8. [8] V. A. Pliss and G. R. Sell, Robustness of exponential dichotomies in infinite- dimensional dynamical systems, J. Dynam. Differential Equations, 3, (1999), 471{513
    Open DOISearch in Google Scholar
  9. [9] R. J. Sacker and G. R. Sell, Existence of dichotomies and invariant splittings for differential equations, J. Differential Equations, 22, (1976), 497{522
    Open DOISearch in Google Scholar
  10. [10] R. J. Sacker and G. R. Sell, Dichotomies for linear evolutionary equations in Banach spaces, J. Differential Equations, 113, (1994), 17{67
    Open DOISearch in Google Scholar
  11. [11] B. Sasu and L. Sasu, Exponential trichotomy and p-admissibility for evolution equations families on the real line, Math. Z., 253, (2006), 515{536
    Open DOISearch in Google Scholar
  12. [12] G. R. Sell and Y. You, Dynamics of Evolutionary Equations, Appl. Math. Sciences, Springer-Verlag, NY, 2002
    Open DOISearch in Google Scholar
  13. [13] C. Stoica and M. Megan, On (h; k)-trichotomy for skew-evolution semi ows in Banach spaces, Studia Univ. Babes-Bolyai Math., 56, (2011), 147{156
    Search in Google Scholar
DOI: https://doi.org/10.2478/awutm-2014-0002 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Journal RSS Feed
Language: English
Page range: 17 - 27
Submitted on: Jul 29, 2014
Accepted on: Sep 20, 2014
Published on: Dec 11, 2014
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
Cocycle over a semiflow,
exponential trichotomy,
exponential dichotomy
Related subjects:
Mathematics,
General mathematics

© 2014 Larisa Biriş, Raluca Retezan, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 52 (2014): Issue 1 (June 2014)
Previous article
Next article