Thoan Do ; Geoff Prince
-
The inverse problem in the calculus of variations: new developments
cm:9527 -
Communications in Mathematics,
April 30, 2021,
Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar)
-
https://doi.org/10.2478/cm-2021-0008The inverse problem in the calculus of variations: new developmentsArticleAuthors: Thoan Do ; Geoff Prince

NULL##0000-0003-4819-2219
Thoan Do;Geoff Prince
We deal with the problem of determining the existence and uniqueness of Lagrangians for systems of n second order ordinary differential equations. A number of recent theorems are presented, using exterior differential systems theory (EDS). In particular, we indicate how to generalise Jesse Douglas’s famous solution for n = 2. We then examine a new class of solutions in arbitrary dimension n and give some non-trivial examples in dimension 3.
Volume: Volume 29 (2021), Issue 1 (Special Issue: Ostrava Mathematical Seminar)
Published on: April 30, 2021
Imported on: May 11, 2022
Keywords: [MATH]Mathematics [math]