Almost periodic solutions to systems of parabolic equations. (1994)

• Record Type: Journal Article
• Authors: Nee, Janpou
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 7:Number 4(1994)
• Page Start: 581
• Page End: 586
• Publication Date: 1994
• Subjects: almost periodic solutions -- system of nonlinear parabolic equations; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953394000456
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper we show that the second-order differential solution is 𝕃 2 -almost periodic, provided it is 𝕃 2 -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.