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Transactions of the American Mathematical Society

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Hamiltonian systems in a neighborhood of a saddle point

Author: Viorel Barbu
Journal: Trans. Amer. Math. Soc. 245 (1978), 291-307
MSC: Primary 49A40; Secondary 34G99, 47H15
MathSciNet review: 511411
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Abstract: The behavior of Hamiltonian differential systems associated with a concave convex function H in a Hilbert space is studied by variational methods. It is shown that under quite general conditions on the function H the system behaves in a neighborhood of a minimax saddle point of H much like as in the classical theory of ordinary differential systems. The results extend previous work of R. T. Rockafellar.

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Keywords: Hamiltonian systems, concave-convex function, saddle point, subdifferential, Lagrange problem, Euler-Lagrange equations
Article copyright: © Copyright 1978 American Mathematical Society

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