On index-2 linear implicit difference equations

Nguyen Huu Du; Le Cong Loi; Trinh Khanh Duy; Vu Tien Viet

doi:10.1016/j.laa.2010.09.025

On index-2 linear implicit difference equations

Nguyen Huu Du, Le Cong Loi, Trinh Khanh Duy, Vu Tien Viet

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper deals with an index-2 notion for linear implicit difference equations (LIDEs) and with the solvability of initial value problems (IVPs) for index-2 LIDEs. Besides, the cocycle property as well as the multiplicative ergodic theorem of Oseledets type are also proved.

Original language	English
Pages (from-to)	394-414
Number of pages	21
Journal	Linear Algebra and Its Applications
Volume	434
Issue number	2
DOIs	https://doi.org/10.1016/j.laa.2010.09.025
Publication status	Published - 2011 Jan 15
Externally published	Yes

Keywords

Index
Initial value problems
Linear differential algebraic equations
Linear implicit difference equations
Lyapunov exponent
Random dynamic systems

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

Access to Document

10.1016/j.laa.2010.09.025

Cite this

@article{c1120746f7da4332abfeb2c75303d223,

title = "On index-2 linear implicit difference equations",

abstract = "This paper deals with an index-2 notion for linear implicit difference equations (LIDEs) and with the solvability of initial value problems (IVPs) for index-2 LIDEs. Besides, the cocycle property as well as the multiplicative ergodic theorem of Oseledets type are also proved.",

keywords = "Index, Initial value problems, Linear differential algebraic equations, Linear implicit difference equations, Lyapunov exponent, Random dynamic systems",

author = "Du, {Nguyen Huu} and Loi, {Le Cong} and Duy, {Trinh Khanh} and Viet, {Vu Tien}",

year = "2011",

month = jan,

day = "15",

doi = "10.1016/j.laa.2010.09.025",

language = "English",

volume = "434",

pages = "394--414",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "2",

}

TY - JOUR

T1 - On index-2 linear implicit difference equations

AU - Du, Nguyen Huu

AU - Loi, Le Cong

AU - Duy, Trinh Khanh

AU - Viet, Vu Tien

PY - 2011/1/15

Y1 - 2011/1/15

N2 - This paper deals with an index-2 notion for linear implicit difference equations (LIDEs) and with the solvability of initial value problems (IVPs) for index-2 LIDEs. Besides, the cocycle property as well as the multiplicative ergodic theorem of Oseledets type are also proved.

AB - This paper deals with an index-2 notion for linear implicit difference equations (LIDEs) and with the solvability of initial value problems (IVPs) for index-2 LIDEs. Besides, the cocycle property as well as the multiplicative ergodic theorem of Oseledets type are also proved.

KW - Index

KW - Initial value problems

KW - Linear differential algebraic equations

KW - Linear implicit difference equations

KW - Lyapunov exponent

KW - Random dynamic systems

UR - http://www.scopus.com/inward/record.url?scp=78649333683&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649333683&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2010.09.025

DO - 10.1016/j.laa.2010.09.025

M3 - Article

AN - SCOPUS:78649333683

SN - 0024-3795

VL - 434

SP - 394

EP - 414

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 2

ER -

On index-2 linear implicit difference equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this