| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 6, 2017
Special Issue - Nonlocal and delay equations
|
|
|---|---|---|
| Page(s) | 192 - 207 | |
| DOI | https://doi.org/10.1051/mmnp/2017072 | |
| Published online | 30 December 2017 | |
Nonlocal problems in the mechanics of three-layer shells*
RUDN University,
6 Miklukho-Maklaya st.,
117198
Moscow, Russia
** e-mail: skub@lector.ru
Received:
30
October
2017
Accepted:
13
November
2017
We consider an elastic system consisting of two coaxial cylindrical shells connected by goffered filler. Using a variational principle, this model is reduced to a boundary value problem for strongly elliptic system of differential-difference equations. It is proved the existence and uniquenesss of generalized solution of the above problem, smoothness of solution, and convergence of the Ritz method.
Mathematics Subject Classification: 34K10 / 35J47
Key words: Three-layer shell / boundary value problem / elliptic differential-difference equations
© EDP Sciences, 2017
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