Differential Properties of the Operator of the Geometrically Nonlinear Problem of a Sandwich Plate Bending
| Autor: | I. B. Badriev, V. Yu. Bujanov, M. V. Makarov |
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| Rok vydání: | 2019 |
| Předmět: |
Geometrically nonlinear
General Mathematics Operator (physics) 010102 general mathematics Mathematical analysis Fréchet derivative Bending of plates Bending Derivative 01 natural sciences 010305 fluids & plasmas Sobolev space 0103 physical sciences 0101 mathematics Differential (infinitesimal) Mathematics |
| Zdroj: | Lobachevskii Journal of Mathematics. 40:263-273 |
| ISSN: | 1818-9962 1995-0802 |
| DOI: | 10.1134/s1995080219030041 |
| Popis: | The geometrically nonlinear bending problem of a sandwich plate with a transversally soft core in a one-dimensional formulation is considered. A generalized formulation of the problem in the form of an operator equation in Sobolev space is obtained. The differential properties of the operator of this equation are investigated. It is proved that the operator of the equation is differentiate according to Gâlteaux. It is established that the Gâlteaux derivative is a continuous operator. Therefore, the operator is also differentiate Frechet derivative wherein the Gato derivative coincides with the Frechet derivative. |
| Databáze: | OpenAIRE |
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