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Geometric Lagrangian approach to first-order systems and applications. (English) Zbl 0644.70012

The geometric theory of presymplectic systems is developed to study both the Lagrangian and Hamiltonian formulation of a system described by a Lagrangian linear in the velocities. The results are used to study some related problems for second-order differential equations and regular Lagrangians.

MSC:

70H03 Lagrange’s equations
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70H20 Hamilton-Jacobi equations in mechanics

Citations:

Zbl 0644.70013
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References:

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