Periodic solutions of a perturbed difference equation

Michael I. Gil'; Sui Sun Cheng; A. Halanay

doi:10.1080/00036810008840880

Periodic solutions of a perturbed difference equation

Michael I. Gil', Sui Sun Cheng, A. Halanay

Department of Mathematics

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

10 Scopus citations

Abstract

Existence theorems are obtained for the periodic solutions of a perturbed difference equation x _k+1 = Ax _k +F _k (x _k ), where (Formula presented.) is a T periodic sequence of continuous mappings. Estimates for the maximum norms of these solutions are also obtained.

Original language	English
Pages (from-to)	134-149
Number of pages	16
Journal	Applicable Analysis
Volume	76
Issue number	3-4
DOIs	https://doi.org/10.1080/00036810008840880
State	Published - 1 Jan 2000

Keywords

39A10
Periodic solution
Perturbed difference equation
Schauder theorem

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036810008840880

Cite this

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title = "Periodic solutions of a perturbed difference equation",

abstract = " Existence theorems are obtained for the periodic solutions of a perturbed difference equation x k+1 = Ax k +F k (x k ), where (Formula presented.) is a T periodic sequence of continuous mappings. Estimates for the maximum norms of these solutions are also obtained.",

keywords = "39A10, Periodic solution, Perturbed difference equation, Schauder theorem",

author = "Gil', {Michael I.} and Cheng, {Sui Sun} and A. Halanay",

year = "2000",

month = jan,

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doi = "10.1080/00036810008840880",

language = "English",

volume = "76",

pages = "134--149",

journal = "Applicable Analysis",

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publisher = "Taylor and Francis Ltd.",

number = "3-4",

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T1 - Periodic solutions of a perturbed difference equation

AU - Gil', Michael I.

AU - Cheng, Sui Sun

AU - Halanay, A.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - Existence theorems are obtained for the periodic solutions of a perturbed difference equation x k+1 = Ax k +F k (x k ), where (Formula presented.) is a T periodic sequence of continuous mappings. Estimates for the maximum norms of these solutions are also obtained.

AB - Existence theorems are obtained for the periodic solutions of a perturbed difference equation x k+1 = Ax k +F k (x k ), where (Formula presented.) is a T periodic sequence of continuous mappings. Estimates for the maximum norms of these solutions are also obtained.

KW - 39A10

KW - Periodic solution

KW - Perturbed difference equation

KW - Schauder theorem

UR - http://www.scopus.com/inward/record.url?scp=0001755283&partnerID=8YFLogxK

U2 - 10.1080/00036810008840880

DO - 10.1080/00036810008840880

M3 - Article

AN - SCOPUS:0001755283

SN - 0003-6811

VL - 76

SP - 134

EP - 149

JO - Applicable Analysis

JF - Applicable Analysis

IS - 3-4

ER -

Periodic solutions of a perturbed difference equation

Abstract

Keywords

ASJC Scopus subject areas

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