On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces | Zendy

Mihai-Gabriel Babuţia | Zendy; Mihail Megan | Zendy; IoanLucian Popa | Zendy

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On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces

Author(s) -

Mihai-Gabriel Babuţia,

Mihail Megan,

IoanLucian Popa

Publication year - 2013

Publication title -

international journal of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 20

eISSN - 1687-9651

pISSN - 1687-9643

DOI - 10.1155/2013/761680

Subject(s) - invariant (physics) , mathematics , exponential dichotomy , dichotomy , banach space , exponential function , pure mathematics , discrete mathematics , mathematical analysis , statistics , differential equation , mathematical physics

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 caseof 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

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