Multibump solutions for an almost periodically forced singular Hamiltonian system

Paul H. Rabinowitz

Abstract:
This paper uses variational methods to establish the existence of so-called multibump homoclinic solutions for a family of singular Hamiltonian systems in R² which are subjected to almost periodic forcing in time.

Submitted July 25, 1995. Published September 15, 1995.
Math Subject Classification: 34C37, 49M10, 58E99, 58F05.
Key Words: homoclinic, multibump solution, calculus of variations.

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Paul H. Rabinowitz Department of Mathematics University of Wisconsin-Madison Madison, WI 53706, USA e-mail: rabinowi@math.wisc.edu

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