Unified Expressions Of All Integral Variational Principles

Abstract

In terms of the quantitative causal principle, this paper obtains a general variational principle, gives unified expressions of the general, Hamilton, Voss, Hölder, Maupertuis-Lagrange variational principles of integral style, the invariant quantities of the general, Voss, Hölder, Maupertuis-Lagrange variational principles are given, finally the Noether conservation charges of the general, Voss, Hölder, Maupertuis-Lagrange variational principles are deduced, and the intrinsic relations among the invariant quantities and the Noether conservation charges of the all integral variational principles are achieved.