Remarks on subharmonic oscillations of a semilinear wave equation
β Scribed by A. Capozzi; A. Salvatore
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 504 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We shall consider a one-dimensional semilinear wave equation in a ΓΏnite interval (0; l) in R. A usual homogeneous boundary condition is imposed on it at x = 0; l. We shall show that the solution u(x; t) oscillates on the time t in the following sense. Let x be any ΓΏxed in (0; l), then u(x; t) change
This paper is concerned with a time-periodic reaction-diffusion equation. It is known that typical trajectories approach periodic solutions with possibly longer period than that of the equation. Such solutions are called subharmonic solutions. In this paper, for any domain β¦, time-period Ο > 0 and i