On the sing of the Green's function of the boundary value problem for the fourth-order equation on a~graph
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 19-29
Voir la notice de l'article provenant de la source Math-Net.Ru
In this paper we consider a boundary value problem for a fourth-order equation on a graph modeling the elastic deformation of the flat system of beams with the rigid connection conditions at the nodes. Some properties of the Green's function are investigated and a sufficient condition for its positivity is established.
@article{VMJ_2013_15_4_a3,
author = {R. Ch. Kulaev},
title = {On the sing of the {Green's} function of the boundary value problem for the fourth-order equation on a~graph},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {19--29},
publisher = {mathdoc},
volume = {15},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a3/}
}
TY - JOUR AU - R. Ch. Kulaev TI - On the sing of the Green's function of the boundary value problem for the fourth-order equation on a~graph JO - Vladikavkazskij matematičeskij žurnal PY - 2013 SP - 19 EP - 29 VL - 15 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a3/ LA - ru ID - VMJ_2013_15_4_a3 ER -
%0 Journal Article %A R. Ch. Kulaev %T On the sing of the Green's function of the boundary value problem for the fourth-order equation on a~graph %J Vladikavkazskij matematičeskij žurnal %D 2013 %P 19-29 %V 15 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a3/ %G ru %F VMJ_2013_15_4_a3
R. Ch. Kulaev. On the sing of the Green's function of the boundary value problem for the fourth-order equation on a~graph. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 4, pp. 19-29. http://geodesic.mathdoc.fr/item/VMJ_2013_15_4_a3/