Liang, J.; Ye, Qixiao The monotone method on the sub-strongly coupled reaction-diffusion systems. (English) Zbl 0833.35068 Port. Math. 50, No. 2, 193-204 (1993). Summary: We extend the monotone method which is also called upper-lower solution method to the sub-strongly coupled reaction-diffusion system without quasimonotone condition required. We construct an iterative monotonous sequence to approach the solution. Some application of this result is involved. MSC: 35K57 Reaction-diffusion equations 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations Keywords:sub-strongly coupled reaction-diffusion system; iterative monotonous sequence PDFBibTeX XMLCite \textit{J. Liang} and \textit{Q. Ye}, Port. Math. 50, No. 2, 193--204 (1993; Zbl 0833.35068) Full Text: EuDML