THE ASYMPTOTIC STABILITY OF ONE-PARAMETER METHODS FOR NEUTRAL DIFFERENTIAL-EQUATIONS

被引：115

作者：

KUANG, JX ^{[1
]}

XIANG, JX ^{[1
]}

TIAN, HJ ^{[1
]}

机构：

[1] SHANGHAI NORMAL UNIV, DEPT MATH, SHANGHAI 200234, PEOPLES R CHINA

来源：

BIT NUMERICAL MATHEMATICS | 1994年 / 34卷 / 03期

关键词：

ASYMPTOTIC STABILITY; NUMERICAL STABILITY; ONE-PARAMETER METHODS; SYSTEMS OF NEUTRAL DIFFERENTIAL EQUATIONS;

D O I：

10.1007/BF01935649

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

This paper deals with the asymptotic stability of theoretical solutions and numerical methods for systems of neutral differential equations x' = Ax'(t - tau) + Bx(t) + Cx(t - tau), where A, B, and C are constant complex N x N matrices, and tau > 0. A necessary and sufficient condition such that the differential equations are asymptotically stable is derived. We also focus on the numerical stability properties of adaptations of one-parameter methods. Further, we investigate carefully the characterization of the stability region.

引用

页码：400 / 408

页数：9

共 14 条

[1]

Barwell V. K., 1975, BIT (Nordisk Tidskrift for Informationsbehandling), V15, P130, DOI 10.1007/BF01932685

[2]

Bellman R., 1963, DIFFERENTIAL DIFFERE, DOI 10.1063/1.3050672

[3]

BRYTON RK, 1967, J MATH ANAL APPL, V18, P182

[4]

Hale J.K., 1977, THEORY FUNCTIONAL DI

[5]

HENRICI P, 1974, APPLIED COMPUTATIONA, V1

[6] STABILITY ANALYSIS OF NUMERICAL-METHODS FOR DELAY DIFFERENTIAL-EQUATIONS [J].

HOUT, KJI ;

SPIJKER, MN .

NUMERISCHE MATHEMATIK, 1991, 59 (08) :807-814

[7]

INTHOUT KJ, 1993, REPORT SERIES, V282

[8]

KNOPP K, 1955, FUNKTIONEN THEORIE, V2

[9]

Lancaster P., 1985, COMPUTER SCI APPL MA

[10] THE STABILITY OF THE THETA-METHODS IN THE NUMERICAL-SOLUTION OF DELAY DIFFERENTIAL-EQUATIONS [J].

LIU, MZ ;

SPIJKER, MN .

IMA JOURNAL OF NUMERICAL ANALYSIS, 1990, 10 (01) :31-48

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