Linear Differential Equation with Additional Conditions and Formulae for Green's Function

被引：14

作者：

Roman, Svetlana ^{[1
]}

机构：

[1] Vilnius Univ, LT-08663 Vilnius, Lithuania

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2011年 / 16卷 / 03期

关键词：

Linear ODE; Green's function; Nonlocal Boundary Conditions; STURM-LIOUVILLE PROBLEM; SPECTRUM;

D O I：

10.3846/13926292.2011.602125

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the m-order linear ordinary differential equation with m linearly independent additional conditions. We have found the solution to this problem and give the formula and the existence condition of Green's function. We compare two Green's functions for two such problems with different additional conditions and apply these results to the problems with nonlocal boundary conditions.

引用

页码：401 / 417

页数：17