Skip to main content
Have a personal or library account? Click to login
On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces Cover

On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces

Annals of West University of Timisoara - Mathematics and Computer Science
Volume 52 (2014): Issue 2 (December 2014)
By: ,   and    
Open Access
|Mar 2015
References

References

  1. [1] M. G. Babuţia and M. Megan, Exponential dichotomy concepts for evolution operators on the half-line, to appear in the Annals of the Academy of Romanian Scientists, Series on Mathematics and its Applications, 7, (2015)
    Search in Google Scholar
  2. [2] L. Barreira and C. Vails, Robustness of nonuniform exponential trichotomies in Banach spaces, J. Math. Anal. Appl., 351, (2009), 373-381
    Open DOISearch in Google Scholar
  3. [3] L. Barreira, M. Fang, C. Vails, and J. Zhang. Robustness of nonuniform polyno¬mial dichotomies for difference equations, Topol. Method. Nonlinear An., 37, (2011), 357-386
    Search in Google Scholar
  4. [4] L. Barreira, J. Chu, and C. Vails, Robustness of nonuniform dichotomies with different growth rates, Sao Paolo Journal of Math. Sciences, 2, (2011), 203-231
    Open DOISearch in Google Scholar
  5. [5] A. J. G. Bento and C. Silva, Stable manifolds for nonuniform polynomial di¬chotomy, J. Funct. Analysis, 257, (2009), 122-148
    Open DOISearch in Google Scholar
  6. [6] A. J. G. Bento, N. Lupa, M. Megan, and C. Silva, Integral conditions for nonuniform p- dichotomy, arXivGvl [math.DS], (12 May 2014)
    Search in Google Scholar
  7. [7] X. Chang, J. Zhang, and J. Qin, Robustness of nonuniform (/z, ^-dichotomies in Banach spaces, J. Math, Anal. Appl., 387, (2012), 583-594
    Search in Google Scholar
  8. [8] S. Elaydi and O. Hajek. Exponential trichotomy of differential systems, J. Math, Anal. Appl, 129, (1988), 362-374
    Open DOISearch in Google Scholar
  9. [9] J. Hong, R. Obaya, and A. Sanz, Existence of a class of ergotic solutions implies exponential trichotomy, Appl. Math. Lett., 12, (1999), 43-45
    Open DOISearch in Google Scholar
  10. [10] M. I. Kovacs, M. G. Babuţia, and M. Megan, On (h,k)- dichotomy in Banach spaces, Bull. Ştiinţ. Univ. Politehnica Timişoara, Ser. Mat. Fiz., 59, (2014), 19-27
    Search in Google Scholar
  11. [11] M. I. Kovacs. On uniform exponential trichotomy in Banach spaces, Analele Univ. de Vest Timişoara, Seria Mat.-Inf, 52, (2014), 81-93
    Open DOISearch in Google Scholar
  12. [12] M. I. Kovacs and R. Retezan, On (h,k)-trichotomy for evolution operators in Banach spaces, Annals of Tiberiu Popoviciu Seminar of Functional Equations, Ap¬proximation and Convexity, 12, (2014), 3-16
    Search in Google Scholar
  13. [13] N. Lupa and M. Megan, Exponential dichotomies of evolution operators in Banach spaces, Monatsh, Math., 174, (2014), 265-284
    Open DOISearch in Google Scholar
  14. [14] M. Megan, On (h, fc)-dichotomy of evolution operators in Banach spaces, Dynamic Systems Appl, 5, (1996), 189-196
    Search in Google Scholar
  15. [15] M. Megan, A. L. Sasu, and B. Sasu, On nonuniform exponential dichotomy of evolution operators in Banach spaces, Integral Equations and Operator Theory, 44, (2002), 71-78
    Open DOISearch in Google Scholar
  16. [16] M. Megan and M. G. Babuţia, Nonuniform exponential dichotomy for noninvert- ible evolution operators in Banach spaces, submitted
    Search in Google Scholar
  17. [17] M. Megan and C. Stoica, On uniform exponential trichotomy of evolution opera¬tors in Banach spaces, Integral Equations and Operator Theory, 60, (2008), 499-506
    Open DOISearch in Google Scholar
  18. [18] M. Megan, T. Ceauşu, and M. L. Ramneanţu, Polynomial stability of evolution operators in Banach spaces, Opuscula Mathematica, 31, (2011), 269-277
    Open DOISearch in Google Scholar
  19. [19] M. L. Ramneanţu, T. Ceauşu, and M. Megan, On nonuniform polynomial dichotomy of evolution operators in Banach spaces. International Journal of Pure and Applied Mathematics, 75, (2012), 305-318
    Search in Google Scholar
  20. [20] C. Stoica and M. Megan, On (h, fc)-triehotomy for skew-evolution semiflows in Banach spaces. Stud. Univ. Babeş-Bolyai Math., 56, (2011), 147-156
    Search in Google Scholar
  21. [21] J. Zhang, X. Chang, and J. Wang, Existence and robustness of nonuniform (h, k. p, v) dichotomies for nonautonomous impulsive differential equations, J. Math. Anal. Appl, 400, (2013), 710-723
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/awutm-2014-0015 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Journal RSS Feed
Language: English, French
Page range: 127 - 143
Submitted on: Oct 4, 2014
Accepted on: Feb 10, 2015
Published on: Mar 25, 2015
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
Keywords:
Evolution operators,
(h,
k)-trichotomy,
(h,
k)- dichotomy
Related subjects:
Mathematics,
General mathematics

© 2015 Monteola Ilona Kovács, Mihail Megan, Claudia Luminiţa Mihiţ, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 52 (2014): Issue 2 (December 2014)
Previous article
Next article