Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels

M. R. Crisci; Zdzislaw Jackiewicz; E. Russo; A. Vecchio

doi:10.1016/0022-247X(91)90177-2

Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels

M. R. Crisci, Zdzislaw Jackiewicz, E. Russo, A. Vecchio

Mathematical and Statistical Sciences, School of (SoMSS)

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

16 Scopus citations

Abstract

Stability criteria are derived for difference equations of Volterra type with degenerate kernels. The main tool in this analysis is the use of the new representation formula which allows us to express the solution of discrete Volterra equation with degenerate kernel in terms of the fundamental matrix of the corresponding first-order system of the difference equations.

Original language	English (US)
Pages (from-to)	49-62
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	162
Issue number	1
DOIs	https://doi.org/10.1016/0022-247X(91)90177-2
State	Published - Nov 15 1991

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/0022-247X(91)90177-2

Cite this

@article{dbcdc89ecb714ac39b0c9ec0f03d6ce1,

title = "Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels",

abstract = "Stability criteria are derived for difference equations of Volterra type with degenerate kernels. The main tool in this analysis is the use of the new representation formula which allows us to express the solution of discrete Volterra equation with degenerate kernel in terms of the fundamental matrix of the corresponding first-order system of the difference equations.",

author = "Crisci, {M. R.} and Zdzislaw Jackiewicz and E. Russo and A. Vecchio",

note = "Funding Information: * This author{\textquoteright}s work was partly supported by Consigho Nazionale delle Ricerche and by the National Science Foundation under grant DMS-8900411.",

year = "1991",

month = nov,

day = "15",

doi = "10.1016/0022-247X(91)90177-2",

language = "English (US)",

volume = "162",

pages = "49--62",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels

AU - Crisci, M. R.

AU - Jackiewicz, Zdzislaw

AU - Russo, E.

AU - Vecchio, A.

N1 - Funding Information: * This author’s work was partly supported by Consigho Nazionale delle Ricerche and by the National Science Foundation under grant DMS-8900411.

PY - 1991/11/15

Y1 - 1991/11/15

N2 - Stability criteria are derived for difference equations of Volterra type with degenerate kernels. The main tool in this analysis is the use of the new representation formula which allows us to express the solution of discrete Volterra equation with degenerate kernel in terms of the fundamental matrix of the corresponding first-order system of the difference equations.

AB - Stability criteria are derived for difference equations of Volterra type with degenerate kernels. The main tool in this analysis is the use of the new representation formula which allows us to express the solution of discrete Volterra equation with degenerate kernel in terms of the fundamental matrix of the corresponding first-order system of the difference equations.

UR - http://www.scopus.com/inward/record.url?scp=0002708328&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002708328&partnerID=8YFLogxK

U2 - 10.1016/0022-247X(91)90177-2

DO - 10.1016/0022-247X(91)90177-2

M3 - Article

AN - SCOPUS:0002708328

SN - 0022-247X

VL - 162

SP - 49

EP - 62

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this