FINITE MOMENTS PERTURBATIONS OF Y'' = 0 IN BANACH-ALGEBRAS

被引：8

作者：

SPIGLER, R ^{[1
]}

VIANELLO, M ^{[1
]}

机构：

[1] UNIV PADUA,DIPARTIMENTO MATEMAT PURA & APPLICATA,I-35131 PADUA,ITALY

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 119卷 / 01期

关键词：

ABSTRACT LINEAR DIFFERENTIAL EQUATIONS; MATRIX DIFFERENTIAL EQUATIONS; BANACH ALGEBRAS; ASYMPTOTIC REPRESENTATIONS;

D O I：

10.2307/2159829

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Rigorous asymptotics for a basis of y'' + g(x)y = 0, x is-an-element-of [1, +infinity), is derived in the framework of Banach algebras. The key assumption is integral-+infinity/1 x(k)\\g(x)\\dx < infinity for k = 1 or k = 2. Such results improve and generalize previous work on linear second-order matrix differential equations.

引用

页码：97 / 103

页数：7

共 9 条

[1]

BARRETT JH, 1955, PORT MATH, V14, P79

[2] SELF-ADJOINT, NON-OSCILLATORY SYSTEMS OF ORDINARY, 2ND ORDER, LINEAR DIFFERENTIAL EQUATIONS [J].