Periodic solutions of a nonlinear wave equation
- 1 January 1980
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 85 (3-4), 313-320
- https://doi.org/10.1017/s0308210500011896
Abstract
We provide a sufficient and “almost” necessary condition for the existence of a periodic solution of the equationwhere F is nondecreasing in u and has a small linear growth as |u|→∞.Keywords
This publication has 4 references indexed in Scilit:
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- Periodic Solutions of Nonlinear Hyperbolie Partial Differential EquationsCommunications on Pure and Applied Mathematics, 1967