On detecting solutions of polynomial nonlinear difference equations

被引：6

作者：

Kotsios, S ^{[1
]}

机构：

[1] Univ Athens, Dept Econ, Div Math, Athens 10559, Greece

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2002年 / 8卷 / 06期

关键词：

nonlinear difference equations; algebraic methods; nonlinear systems; discrete systems;

D O I：

10.1080/10236190290027675

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a method for discovering solutions of nonlinear polynomial difference equations is presented. It is based on the concepts of 8-operator and star-product. These notions create a proper algebraic background by means of which we can find linear equations "included" into the original nonlinear one and to seek for solutions among them. A corresponding algorithm and some examples are also provided.

引用

页码：551 / 571

页数：21

共 16 条

[1]

COHN RM, 1965, DIFFERENCE ALGEBRA

[2]

Cox D., 1997, UNDERGRADUATE TEXTS, V2nd edn

[3]

Elaydi S., 1999, INTRO DIFFERENCE EQU, DOI [10.1007/978-1-4757-3110-1, DOI 10.1007/978-1-4757-3110-1]

[4]

Goldberg S., 1958, INTRO DIFFERENCE EQU

[5]

ISISORI A, 1995, NONLINEAR CONTROL SY

[6]

Kolchin E., 1973, DIFFERENTIAL ALGEBRA

[7] Application of Ritt's remainder algorithm to discrete polynomial control systems [J].

Department of Economics, University of Athens, 8 Pesmazoglou Str., 10559, Athens, Greece .

IMA Journal of Mathematical Control and Information, 2001, 18 (01) :19-29

[8] BIBO STABILITY-CRITERIA FOR A CERTAIN CLASS OF DISCRETE NONLINEAR-SYSTEMS [J].

KOTSIOS, S ;

KALOUPTSIDIS, N .

INTERNATIONAL JOURNAL OF CONTROL, 1993, 58 (03) :707-730

[9] THE MODEL-MATCHING PROBLEM FOR A CERTAIN CLASS OF NONLINEAR-SYSTEMS [J].

KOTSIOS, S ;

KALOUPTSIDIS, N .

INTERNATIONAL JOURNAL OF CONTROL, 1993, 57 (04) :881-919

[10]

Kotsios S., 1996, IMA Journal of Mathematical Control and Information, V13, P409, DOI 10.1093/imamci/13.4.409

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