A Resolution of the Euler Operator. I
- 1 May 1978
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 69 (2), 223-229
- https://doi.org/10.2307/2042601
Abstract
An exact sequence resolving the Elder operator of the calculus of variations for polynomial differential equations in one independent and one dependent variable is described. This resolution provides readily verifiable necessary and sufficient conditions for such a polynomial differential equation to be the Euler equation for some Lagrangian. An explicit construction of the Lagrangian is given.Keywords
This publication has 1 reference indexed in Scilit:
- Geometric Measure TheoryPublished by Springer Nature ,1996