Geodesic
Polyharmonic functions in structures of exact solutions in the elasticity theory
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2013), pp. 45-51.

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

We introduce an asymptotic algorithm that allows us to construct both approximate and exact solutions to a set of equations in the linear elasticity theory. The exact solutions are expressed by polynomials in one of coordinates, while their coefficients include polyharmonic functions that dependent on two other coordinates. For the sake of ordering of solutions, one can associate every exact solution with the number of the asymptotic approximation.
Keywords: elasticity theory, polyharmonic functions.
Mots-clés : exact solutions 
@article{IVM_2013_7_a3,
     author = {N. G. Ryabenkov},
     title = {Polyharmonic functions in structures of exact solutions in the elasticity theory},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {45--51},
     publisher = {mathdoc},
     number = {7},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_7_a3/}
}
TY  - JOUR
AU  - N. G. Ryabenkov
TI  - Polyharmonic functions in structures of exact solutions in the elasticity theory
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2013
SP  - 45
EP  - 51
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2013_7_a3/
LA  - ru
ID  - IVM_2013_7_a3
ER  - 
%0 Journal Article
%A N. G. Ryabenkov
%T Polyharmonic functions in structures of exact solutions in the elasticity theory
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2013
%P 45-51
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2013_7_a3/
%G ru
%F IVM_2013_7_a3
N. G. Ryabenkov. Polyharmonic functions in structures of exact solutions in the elasticity theory. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2013), pp. 45-51. http://geodesic.mathdoc.fr/item/IVM_2013_7_a3/

[1] Ryabenkov N. G., Faizullina R. F., “O edinoi asimptoticheskoi prirode metodov resheniya zadach teorii uprugosti dlya plit i plastin”, PMM, 70:3 (2006), 440–448 | MR | Zbl