ON THE NONHOMOGENEOUS 2ND-ORDER EULER OPERATOR DIFFERENTIAL-EQUATION - EXPLICIT SOLUTIONS

被引：1

作者：

JODAR, L

机构：

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1992年 / 177卷

关键词：

D O I：

10.1016/0024-3795(92)90322-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A variation-of-parameters method for solving the operator differential equation t2X(2) + tA1X(1) + A0X = F(t) is presented in terms of an appropriate pair of solutions of the algebraic operator equation Z2 + (A1 - I)Z + A0 = 0. Under this hypothesis, existence and uniqueness conditions for two-point boundary-value problems, as well as an explicit expression for the solutions in terms of data, are given.

引用

页码：145 / 156

页数：12

共 12 条

[1]

Coddington A., 1955, THEORY ORDINARY DIFF

[2]

Eisenfeld J., 1973, J FUNCT ANAL, V12, P475

[3]

Gohberg I., 1982, MATRIX POLYNOMIALS

[4]

Hille E., 1948, AM MATH SOC C PUBL, V31