| Title |
Ordinary and generalized Green's functions for the second order discrete nonlocal problems / |
| Authors |
Paukštaitė, Gailė ; Štikonas, Artūras |
| DOI |
10.1186/s13661-015-0474-6 |
| Full Text |
|
| Is Part of |
Boundary value problems.. New York : Springer. 2015, vol. 2015, art no 207, p. [1-19].. ISSN 1687-2770 |
| Keywords [eng] |
discrete problem ; nonlocal conditions ; generalized Green’s function ; ordinary Green’s function ; least squares solution ; Moore-Penrose inverse |
| Abstract [eng] |
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. |
| Published |
New York : Springer |
| Type |
Journal article |
| Language |
English |
| Publication date |
2015 |
| CC license |
|
