Journal of Applied Mathematics and Stochastic Analysis
Volume 7 (1994), Issue 4, Pages 581-586
doi:10.1155/S1048953394000456
Almost periodic solutions to systems of parabolic equations
Academia Sinica, Institute of Mathematics, Nankang, ROC, Taipei 11529, Taiwan
Received 1 February 1994; Revised 1 May 1994
Copyright © 1994 Janpou Nee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper we show that the second-order differential solution is 𝕃2-almost
periodic, provided it is 𝕃2-bounded, and the growth of the components of a non-linear function of a system of parabolic equation is bounded by any pair of con-secutive eigenvalues of the associated Dirichlet boundary value problems.