Download Critical Point Theory for Lagrangian Systems: 293 (Progress by Marco Mazzucchelli PDF

By Marco Mazzucchelli

Lagrangian structures represent an important and previous category in dynamics. Their beginning dates again to the tip of the eighteenth century, with Joseph-Louis Lagrange’s reformulation of classical mechanics. the most function of Lagrangian dynamics is its variational style: orbits are extremal issues of an motion useful. the improvement of severe element conception within the 20th century supplied a robust equipment to investigate
existence and multiplicity questions for orbits of Lagrangian structures. This monograph provides a latest account of the appliance of severe aspect idea, and extra particularly Morse concept, to Lagrangian dynamics, with specific emphasis towards life and multiplicity of periodic orbits of non-autonomous and time-periodic systems.

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