On solutions of a nonlinear wave question when the ratio of the period to the length of the interval is irrational

Author:
P. J. McKenna

Journal:
Proc. Amer. Math. Soc. **93** (1985), 59-64

MSC:
Primary 35B10; Secondary 35L70

MathSciNet review:
766527

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Abstract | References | Similar Articles | Additional Information

Abstract: The semilinear wave equation with , is -periodic in , is considered for some situations in which is not a rational multiple of . Various existence results depending on the range of are given, which contrast sharply with the case where is a rational multiple of .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1985-0766527-X

Keywords:
Boundary value problems,
hyperbolic contractions,
compactness

Article copyright:
© Copyright 1985
American Mathematical Society