Necessary Condition for an Euler-Lagrange Equation on Time Scales

作者：Dryl Monika; Torres Delfim F M^*

来源：Abstract and Applied Analysis, 2014, 2014: 631281.

DOI：10.1155/2014/631281

We prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation, which is not an Euler-Lagrange equation on an arbitrary time scale, is given.

• 出版日期2014