DOI:
https://doi.org/10.14483/udistrital.jour.RC.2015.23.a6Published:
09/01/2015Issue:
Vol. 23 No. 3 (2015): September-December 2015Section:
Science and EngineeringMembranas Vibrantes en Varias Dimensiones
Vibrating Membranes in Higher Dimensions
Keywords:
ecuación de onda, membranas vibrantes (es).Downloads
Abstract (es)
Encontramos existencia y unicidad de soluciones –periódicas en cada variable a problemas de la forma . Suponemos que es de clase . Empleamos el Principio de Contracciones de Banach y el Método de Continuidad para encontrar soluciones. Se muestran dos resultados. En uno se asume que la no-linealidades pequeña y en el otro que está acotada y es de derivada pequeña.
Abstract (en)
We found existence and uniqueness of–periódicas solutions to the problem . We assume thatis of class . We use the Contraction Principle and the Continuity Method. Two results are shown. In one hand we assume that the nonlinearityis small. In the other hand, we assume that is bounded and with small derivative.
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