Farkas, Gyula; Simon, Peter L. Stability properties of positive solutions to partial differential equations with delay. (English) Zbl 0993.35086 Electron. J. Differ. Equ. 2001, Paper No. 64, 8 p. (2001). The authors study the stability of positive stationary solutions to semilinear partial differential equations with delay under Dirichlet boundary condition. It is shown that to have stability, for general delay, the nonlinearity is required to be monotone; for discrete delay the monotonicity assumption is not needed. Reviewer: Shigui Ruan (Halifax) MSC: 35R10 Partial functional-differential equations 35B35 Stability in context of PDEs Keywords:semilinear equations with delay; stability of stationary solutions; convex nonlinearity; concave nonlinearity PDFBibTeX XMLCite \textit{G. Farkas} and \textit{P. L. Simon}, Electron. J. Differ. Equ. 2001, Paper No. 64, 8 p. (2001; Zbl 0993.35086) Full Text: EuDML EMIS