Advanced search
Publication Cover
Applicable Analysis
An International Journal
Volume 40, 1991 - Issue 2-3
Submit an article Journal homepage
70
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

On exponential trichotomy of linear difference equations

Garyfalos Papaschinopoulos School of Enyineering, Democritus University of Thrace, Xanthi, 67100, Greece
Pages 89-109 | Received 12 Nov 1989, Published online: 10 May 2007

Citations (22)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Flaviano Battelli, Matteo Franca & Kenneth J. Palmer. (2022) Exponential dichotomy for noninvertible linear difference equations: block triangular systems. Journal of Difference Equations and Applications 28:8, pages 1054-1086.
Read now
S. Elaydi & K. Janglajew. (1998) Dichotomy and trichotomy of difference equations. Journal of Difference Equations and Applications 3:5-6, pages 98-103.
Read now

Articles from other publishers (20)

Gesthimani Stefanidou & Garyfalos Papaschinopoulos. (2022) Asymptotic behavior of the solutions of a partial differential equation with piecewise constant argument. Mathematical Methods in the Applied Sciences 46:1, pages 895-910.
Crossref
Vasso Anagnostopoulou, Christian Pötzsche & Martin RasmussenVasso Anagnostopoulou, Christian Pötzsche & Martin Rasmussen. 2023. Nonautonomous Bifurcation Theory. Nonautonomous Bifurcation Theory 95 115 .
Lucas Backes & Davor Dragičević. (2021) A generalized Grobman–Hartman theorem for nonautonomous dynamics. Collectanea Mathematica 73:3, pages 411-431.
Crossref
Lucas Backes, Davor Dragičević & Kenneth J. Palmer. (2021) Linearization and Hölder continuity for nonautonomous systems. Journal of Differential Equations 297, pages 536-574.
Crossref
Lucas Backes & Davor Dragičević. (2020) Shadowing for infinite dimensional dynamics and exponential trichotomies. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 151:3, pages 863-884.
Crossref
Konstantinos Konstantinidis, Garyfalos Papaschinopoulos & Christos Schinas. (2021) Hyers–Ulam stability for a partial difference equation. Electronic Journal of Qualitative Theory of Differential Equations:67, pages 1-13.
Crossref
Ioan-Lucian PopaTraian CeauşuOvidiu BagdasarRavi P. Agarwal. (2019) Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems. Analele Universitatii "Ovidius" Constanta - Seria Matematica 27:2, pages 153-166.
Crossref
Chunmei Zhang, Meng Fan & Jimin Zhang. (2018) Existence and roughness of nonuniform $(h,k,\mu ,\nu )$-trichotomy for nonautonomous differential equations. Rocky Mountain Journal of Mathematics 48:8.
Crossref
Claudia-Lumini?a Mihi?, Mihail Megan & Traian Ceau?u. (2016) The Equivalence of Datko and Lyapunov Properties for ( )-Trichotomic Linear Discrete-Time Systems . Discrete Dynamics in Nature and Society 2016, pages 1-8.
Crossref
Christian Pötzsche. (2015) Dichotomy spectra of triangular equations. Discrete and Continuous Dynamical Systems 36:1, pages 423-450.
Crossref
Mihai-Gabriel Babuţia, Monteola Ilona Kovács, Mărioara Lăpădat & Mihail Megan. (2014) Discrete -Dichotomy and Remarks on the Boundedness of the Projections . Journal of Operators 2014, pages 1-6.
Crossref
L. Barreira, L. H. Popescu & C. Valls. (2014) Exponential behavior in Banach spaces: robustness of trichotomies in discrete time. Periodica Mathematica Hungarica 68:2, pages 207-221.
Crossref
Xiao-qiu Song, Tian Yue & Dong-qing Li. (2013) Nonuniform Exponential Trichotomy for Linear Discrete-Time Systems in Banach Spaces. Journal of Function Spaces and Applications 2013, pages 1-6.
Crossref
Christian Pötzsche. (2012) Fine Structure of the Dichotomy Spectrum. Integral Equations and Operator Theory 73:1, pages 107-151.
Crossref
Christian Pötzsche. (2011) Nonautonomous bifurcation of bounded solutions II: A Shovel-Bifurcation pattern. Discrete & Continuous Dynamical Systems - A 31:3, pages 941-973.
Crossref
Ji Zhang. (2011) Lyapunov Function and Exponential Trichotomy on Time Scales. Discrete Dynamics in Nature and Society 2011, pages 1-22.
Crossref
AdinaLuminiţa Sasu & Bogdan Sasu. (2011) Integral Equations and Exponential Trichotomy of Skew-Product Flows. Advances in Difference Equations 2011:1, pages 918274.
Crossref
A.I. Alonso, Jialin Hong & R. Obaya. (1999) Exponential dichotomy and trichotomy for difference equations. Computers & Mathematics with Applications 38:1, pages 41-49.
Crossref
Jialin Hong, R. Obaya & A. Sanz. (1999) Existence of a class of ergodic solutions implies exponential trichotomy. Applied Mathematics Letters 12:4, pages 43-45.
Crossref
Hong Jialin & C. Núñez. (1998) The almost periodic type difference equations. Mathematical and Computer Modelling 28:12, pages 21-31.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.