Journal of Applied Mathematics and Stochastic Analysis
Volume 7 (1994), Issue 4, Pages 581-586

Almost periodic solutions to systems of parabolic equations

Janpou Nee

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.


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.