Exponential dichotomy of difference equations in lp-phase spaces on the half-line

Advances in Difference Equations

Volumn 2006, Issue , 2006, Pages

  Huy, Nguyen Thieu ^a   Ha, Vu Thi Ngoc Ha ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749547172     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1155/ADE/2006/58453     Document Type: Article

References (20)

1. B. Aulbach N. V. Minh The concept of spectral dichotomy for linear difference equations. II Journal of Difference Equations and Applications 2 1996 3 251-262
2. D. D. Bainov S. I. Kostadinov P. P. Zabreiko Stability of the notion of dichotomy of linear impulsive differential equations in a Banach space Italian Journal of Pure and Applied Mathematics 1 1997 43-50 (1998)
3. A. G. Baskakov Semigroups of difference operators in the spectral analysis of linear differential operators Functional Analysis and Its Applications 30 1996 3 149-157 (1997)
4. S.-N. Chow H. Leiva Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces Journal of Differential Equations 120 1995 2 429-477
5. C. V. Coffman J. J. Schäffer Dichotomies for linear difference equations Mathematische Annalen 172 1967 2 139-166
6. Ju. L. Dalec'kiǐ M. G. Kreǐn Stability of Solutions of Differential Equations in Banach Space Translations of Mathematical Monographs 43 American Mathematical Society Rhode Island 1974 vi+386
7. D. Henry Geometric Theory of Semilinear Parabolic Equations Lecture Notes in Mathematics 840 Springer Berlin 1981 iv+348
8. N. T. Huy Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line Journal of Functional Analysis 235 2006 1 330-354
9. N. T. Huy N. V. Minh Exponential dichotomy of difference equations and applications to evolution equations on the half-line Computers & Mathematics with Applications 42 2001 3-5 301-311
10. T. Kato Perturbation Theory for Linear Operators Springer New York 1980
11. Y. Latushkin Y. Tomilov Fredholm differential operators with unbounded coefficients Journal of Differential Equations 208 2005 2 388-429
12. T. Li Die Stabilitatsfrage bei Differenzengleichungen Acta Mathematica 63 1934 99-141
13. N. V. Minh N. T. Huy Characterizations of dichotomies of evolution equations on the half-line Journal of Mathematical Analysis and Applications 261 2001 1 28-44
14. N. V. Minh F. Räbiger R. Schnaubelt Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line Integral Equations and Operator Theory 32 1998 3 332-353
15. P. H. A. Ngoc T. Naito New characterizations of exponential dichotomy and exponential stability of linear difference equations Journal of Difference Equations and Applications 11 2005 10 909-918
16. A. C. Peterson Y. N. Raffoul Exponential stability of dynamic equations on time scales Advances in Difference Equations 2005 2005 2 133-144
17. A. Rodkina H. Schurz Global asymptotic stability of solutions of cubic stochastic difference equations Advances in Difference Equations 2004 2004 3 249-260
18. G. R. Sell Y. You Dynamics of Evolutionary Equations Applied Mathematical Sciences 143 Springer New York 2002 xiv+670
19. V. E. Slyusarchuk Exponential dichotomy of solutions of discrete systems UkrainskiI Matematicheskiǐ Zhurnal 35 1983 1 109-115, 137
20. G. Stefanidou G. Papaschinopoulos Trichotomy, stability, and oscillation of a fuzzy difference equation Advances in Difference Equations 2004 2004 4 337-357