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On large norm periodic solutions of some differential equations

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Ergodic Theory and Dynamical Systems II

Part of the book series: Progress in Mathematics ((PM,volume 21))

Abstract

This paper is concerned with the existence of periodic solutions of large norm for a class of general Hamiltonian systems as well as a related family of second order Hamiltonian systems. The nature of the results presented here is if the nonlinear terms in the system satisfy appropriate conditions for large values of their arguments, then the systems possess arbitrarily large periodic solutions of arbitrary period.

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References

  1. Rabinowitz, P. H., Periodic solutions of Hamiltonian systems, Comm. Pure. Appl. Math., 31, (1978), 157–184.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin, Madison, Wisconsin, 53706, USA

    Paul H. Rabinowitz

Authors
  1. Paul H. Rabinowitz
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, Maryland, 20742, USA

    A. Katok

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© 1982 Springer Science+Business Media New York

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Rabinowitz, P.H. (1982). On large norm periodic solutions of some differential equations. In: Katok, A. (eds) Ergodic Theory and Dynamical Systems II. Progress in Mathematics, vol 21. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-2689-0_7

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  • DOI: https://doi.org/10.1007/978-1-4899-2689-0_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3096-6

  • Online ISBN: 978-1-4899-2689-0

  • eBook Packages: Springer Book Archive

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