Email this article Singular Solutions of Clairaut Equations
- Authors: Zyryanova O.V.1, Mudruk V.I.2
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Affiliations:
- Tomsk State Pedagogical University
- Bauman Moscow State Technical University
- Issue: Vol 61, No 4 (2018)
- Pages: 635-642
- Section: Elementary Particle Physics and Field Theory
- URL: https://journals.rcsi.science/1064-8887/article/view/240411
- DOI: https://doi.org/10.1007/s11182-018-1442-2
- ID: 240411
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Abstract
A relationship is established between singular solutions of the Clairaut equation in the theory of ordinary differential equations and singular solutions of the Clairaut equation in the theory of partial differential equations. It is shown that exact relationships exist between Legendre transformations in classical mechanics and Clairaut equations.
About the authors
O. V. Zyryanova
Tomsk State Pedagogical University
Author for correspondence.
Email: zyryanova@tspu.edu.ru
Russian Federation, Tomsk
V. I. Mudruk
Bauman Moscow State Technical University
Email: zyryanova@tspu.edu.ru
Russian Federation, Moscow
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