On solutions of a nonlinear wave question when the ratio of the period to the length of the interval is irrational
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- by P. J. McKenna PDF
- Proc. Amer. Math. Soc. 93 (1985), 59-64 Request permission
Abstract:
The semilinear wave equation ${u_{tt}} - {u_{xx}} + f(u) = g(t)$ with $u(0,t) = u(\pi ,t) = 0$, $u$ is $T$-periodic in $t$, is considered for some situations in which $T$ is not a rational multiple of $\pi$. Various existence results depending on the range of $f’$ are given, which contrast sharply with the case where $T$ is a rational multiple of $\pi$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 59-64
- MSC: Primary 35B10; Secondary 35L70
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766527-X
- MathSciNet review: 766527