Multiple Solutions in Euler’s Elastic Problem

Author:

Ardentov A. A.

Publisher

Pleiades Publishing Ltd

Subject

Control and Systems Engineering,Electrical and Electronic Engineering

Reference18 articles.

1. Ardentov, A.A. and Sachkov, Yu.L., Solution to Euler’s Elastic Problem, Autom. Remote Control, 2009, vol. 70, no. 4, pp. 633–643.

2. Love, A.E.H., A Treatise on the Mathematical Theory of Elasticity, Cambridge: Univ. Press, 1892.

3. Bernoulli, J., Curvatura Laminae Elasticae. Ejus Identitas cum Curvatura Lintei a Pondere Inclusi Fluidi Expansi. Radii Circulorum Osculantium in Terminis Simplicissimis Exhibiti; Una cum Novis Quibusdam Theorematis huc Pertinentibus, &c, Acta Eruditorum, June 1694, pp. 262–276.

4. Bernoulli, D., The 26th Letter to Euler (October 1742), Correspondence Mathématique et Physique de Quelques Célèbres Géomètres du XVIIIème Siècle, vol. 2, Fuss, P.H., Ed., St. Petersburg: Academia Imperiale des Sciences, 1843.

5. Euler, L., Methodus Inveniendi Lineas Curvas Maximi Minimive Proprietate Gaudentes, sive Solutio Problematis Isoperimitrici Latissimo Sensu Accepti, Lausanne: Bousquet, 1744.

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