Convergence of Green's functions of ordinary differential equations

被引：2

作者：

Guba, Oksana ^{[1
]}

机构：

[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 3-4期

关键词：

Green's function; Spectra of ordinary differential operators; Boundary conditions;

D O I：

10.1016/j.mcm.2009.03.008

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study Green's functions for an ordinary differential operator L and the equation Lu - su = f on the infinite line and bounded but large intervals. Assuming that the spectral parameter s lies in the resolvent of L or is a simple eigenvalue of L, we give conditions for the convergence of Green's functions as the interval length goes to infinity. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：542 / 555

页数：14

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