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 |
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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 |
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