THE (N,N)-DISCONJUGACY OF A 2ND-ORDER LINEAR DIFFERENCE EQUATION

被引：33

作者：

AHLBRANDT, CD ^{[1
]}

PETERSON, A ^{[1
]}

机构：

[1] UNIV NEBRASKA,DEPT MATH,LINCOLN,NE 68588

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1994年 / 28卷 / 1-3期

关键词：

DISCRETE LINEAR HAMILTONIAN SYSTEMS; SYMPLECTIC; GENERALIZED ZEROS; RECESSIVE SOLUTIONS; DISCRETE RICCATI EQUATIONS;

D O I：

10.1016/0898-1221(94)00088-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a formulation of generalized zeros and (n, n) disconjugacy for even order formally self-adjoint scalar difference equations. Positive definiteness of an associated quadratic functional is shown to imply (n, n) disconjugacy. This study is motivated by the open question of existence of a Reid roundabout theorem for singular discrete linear Hamiltonian systems.

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页码：1 / 9

页数：9

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