On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces
Joint Authors
Megan, Mihail
Popa, Ioan-Lucian
Babuţia, Mihai Gabriel
Source
International Journal of Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper considers two general concepts of dichotomy for noninvertible and nonautonomous linear discrete-time systems in Banach spaces.
These concepts use two types of dichotomy projections sequences (invariant and strongly invariant) and generalize some well-known dichotomy concepts (uniform, nonuniform, exponential, and polynomial).
In the particular case of strongly invariant dichotomy projections, we present characterizations of these sequences and connections with other dichotomy concepts existent in the literature.
Some illustrative examples clarify the implications between these concepts.
American Psychological Association (APA)
Babuţia, Mihai Gabriel& Megan, Mihail& Popa, Ioan-Lucian. 2013. On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-496724
Modern Language Association (MLA)
Babuţia, Mihai Gabriel…[et al.]. On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces. International Journal of Differential Equations No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-496724
American Medical Association (AMA)
Babuţia, Mihai Gabriel& Megan, Mihail& Popa, Ioan-Lucian. On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-496724
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496724