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Periodic solutions of certain nonlinear autonomous wave equations

Published online by Cambridge University Press:  24 October 2008

Richard B. Melrose  and
Malcolm Pemberton
Richard B. Melrose
Affiliation:
St John's College, Cambridge
Malcolm Pemberton
Affiliation:
Department of Applied Mathematics and Theoretical Physics, Silver Street, Cambridge
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Extract

The hyperbolic boundary value problem

has, for δ = 0 and each positive integer k, t-periodic solutions of period τk(ε) = 2Φ/(k2 + ε)½. For a reasonably large class of functions, f, and, for each k, certain values of ε, one at least of these solutions persists for small δ

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 78 , Issue 1 , July 1975 , pp. 137 - 143
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCE

(1)Dieudonné, J.Foundations of Modern Analysis, Academic Press, (New York and London, 1960).Google Scholar