A Formulation of Noether’s Theorem for Pseudo-Problems of the Calculus of Variations
摘要
In this present paper, we concern an extension of some results of the calculus of variations to the theory of pseudo-operators. We prove the Euler-Lagrange equations, the D’Alembert principle in differential form, and Noether’s theorem. In this sense, comments and some examples regarding the problems of the calculus of variations conclude the paper.