| Title |
Green’s function for discrete problems with nonlocal boundary conditions / |
| Translation of Title |
Diskretaus uždavinio su nelokaliosiomis kraštinėmis sąlygomis Gryno funkcija. |
| Authors |
Roman, Svetlana ; Štikonas, Artūras |
| DOI |
10.15388/LMR.2011.sm02 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. LMD darbai.. Vilnius : Matematikos ir informatikos institutas. 2011, t. 52, p. 291-296.. ISSN 0132-2818 |
| Keywords [eng] |
M-order discrete problem ; Green’s function ; Limit ; Nonlocal boundary conditions |
| Abstract [eng] |
In this article, we investigate an m-order discrete problem with additional conditions which are described by m of linearly independent linear functionals. We have presented a formula and the existence condition of Green’s function, if the general solution of a homogeneous equation is known. We have obtained the relation between two Green’s functions of two inhomogeneous problems. It allows us to find Green’s function for the same equation but with different additional conditions. The obtained results are applied to problems with nonlocal boundary conditions. |
| Published |
Vilnius : Matematikos ir informatikos institutas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2011 |
| CC license |
|
