학술논문

Singular Solutions of Clairaut Equations
Document Type
Original Paper
Source
Russian Physics Journal. 61(4):635-642
Subject
Legendre transformation
Hamiltonian
Lagrangian
singular solutions of partial differential equations of Clairaut type
Language
English
ISSN
1064-8887
1573-9228
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.