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Periodic solutions of a nonlinear wave equation

Published online by Cambridge University Press:  14 November 2011

Abbas Bahri  and
Haïm Brezis
Abbas Bahri
Affiliation:
Analyse Numeŕique, Université Paris VI, Tour 55, 4 pl. Jussieu, 75230 Paris Cedex 05
Haïm Brezis
Affiliation:
Analyse Numeŕique, Université Paris VI, Tour 55, 4 pl. Jussieu, 75230 Paris Cedex 05
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Synopsis

We provide a sufficient and “almost” necessary condition for the existence of a periodic solution of the equation

where F is nondecreasing in u and has a small linear growth as |u|→∞.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 85 , Issue 3-4 , 1980 , pp. 313 - 320
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

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