OSCILLATION CRITERIA FOR HAMILTONIAN MATRIX DIFFERENCE-SYSTEMS

被引：12

作者：

ERBE, LH

YAN, PX

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 119卷 / 02期

关键词：

DISCONJUGACY; DIFFERENCE SYSTEM; RICCATI SYSTEM;

D O I：

10.2307/2159937

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain some oscillation criteria for the Hamiltonian difference system [GRAPHICS] where A, B, C, Y, Z are d x d matrix functions. As a corollary, we establish the validity of an earlier conjecture for a second-order matrix difference system.

引用

页码：525 / 533

页数：9

共 7 条

[1]

CALVIN D, IN PRESS J DIFFERENT

[2]

COPPEL WA, 1971, LECTURE NOTES MATH, V220

[3]

ERBE L, IN PRESS J MATH ANAL

[4] DISCONJUGACY FOR LINEAR HAMILTONIAN DIFFERENCE-SYSTEMS [J].

ERBE, LH ;

YAN, PX .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 167 (02) :355-367

[5] WEIGHTED AVERAGING TECHNIQUES IN OSCILLATION-THEORY FOR 2ND-ORDER DIFFERENCE-EQUATIONS [J].

ERBE, LH ;

YAN, PX .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1992, 35 (01) :61-69

[6]

Lancester P., 1985, THEORY MATRICES, P286

[7] OSCILLATION OF 2ND-ORDER LINEAR MATRIX DIFFERENCE-EQUATIONS [J].

PETERSON, A ;

RIDENHOUR, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 89 (01) :69-88

← 1 →