Ordinary and generalized Green's functions for the second order discrete nonlocal problems

被引：4

作者：

Paukstaite, Gaile ^{[1
,2
]}

Stikonas, Arturas ^{[1
,2
]}

机构：

[1] Vilnius Univ, Fac Math & Informat, Naugarduko 24, LT-03225 Vilnius, Lithuania

[2] Vilnius Univ, Inst Math & Informat, LT-08663 Vilnius, Lithuania

来源：

BOUNDARY VALUE PROBLEMS | 2015年

关键词：

discrete problem; nonlocal conditions; generalized Green's function; ordinary Green's function; least squares solution; Moore-Penrose inverse; STATIONARY PROBLEMS; BOUNDARY-CONDITIONS; OPERATOR;

D O I：

10.1186/s13661-015-0474-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the properties of a generalized Green's function describing the minimum norm least squares solution for a second order discrete problem with two nonlocal conditions. The properties obtained of a generalized Green's function resemble analogous properties of an ordinary Green's function that describes the unique exact solution if it exists. Several features are illustrated by examples.

引用

页码：1 / 18

页数：18

共 27 条

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[2]

Ben-Israel A., 2003, Generalized inverses: theory and applications

[3]

Buda V, 1985, MATEM MSHINN METODY, P36

[4]

Cabada A, 2014, SPRINGERBRIEF MATH, P1, DOI 10.1007/978-1-4614-9506-2