Math. Model. Nat. Phenom.
Volume 12, Number 6, 2017Special Issue - Nonlocal and delay equations
|Page(s)||192 - 207|
|Published online||30 December 2017|
Nonlocal problems in the mechanics of three-layer shells*
6 Miklukho-Maklaya st.,
** e-mail: firstname.lastname@example.org
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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