Another approach to the classical calculus of variations. III. (English) Zbl 0693.58005

Summary: [For part II see the author, ibid. 19, 173-186 (1983; Zbl 0539.58007).]
The article concludes the previous investigations of the same author on formal analysis of the most fundamental concepts of the classical calculus of variations and consists of a brief overview of the general theory and several examples devoted to the interrelations between the Lagrange and the Hamiltonian approaches. Complete proofs and some other results will be published elsewhere.


58E30 Variational principles in infinite-dimensional spaces
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70H05 Hamilton’s equations
58A10 Differential forms in global analysis
70H03 Lagrange’s equations
49J20 Existence theories for optimal control problems involving partial differential equations


Zbl 0539.58007
Full Text: EuDML