On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator
Ufa mathematical journal, Tome 8 (2016) no. 3, pp. 155-170

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we study the solvability of one boundary value problem for an inhomogeneous polyharmonic equation. As a boundary operator, we consider a differentiation operator of fractional order in the Hadamard sense. The considered problem is a generalization of the known Neumann problem.
Keywords: fractional derivative, Neumann problems, Hadamard operators.
Mots-clés : polyharmonic equation
@article{UFA_2016_8_3_a13,
     author = {B. Kh. Turmetov},
     title = {On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator},
     journal = {Ufa mathematical journal},
     pages = {155--170},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a13/}
}
TY  - JOUR
AU  - B. Kh. Turmetov
TI  - On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator
JO  - Ufa mathematical journal
PY  - 2016
SP  - 155
EP  - 170
VL  - 8
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a13/
LA  - en
ID  - UFA_2016_8_3_a13
ER  - 
%0 Journal Article
%A B. Kh. Turmetov
%T On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator
%J Ufa mathematical journal
%D 2016
%P 155-170
%V 8
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a13/
%G en
%F UFA_2016_8_3_a13
B. Kh. Turmetov. On solvability of a~boundary value problem for an inhomogeneous polyharmonic equation with a~fractional order boundary operator. Ufa mathematical journal, Tome 8 (2016) no. 3, pp. 155-170. http://geodesic.mathdoc.fr/item/UFA_2016_8_3_a13/