×

Stability properties of positive solutions to partial differential equations with delay. (English) Zbl 0993.35086

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.

MSC:

35R10 Partial functional-differential equations
35B35 Stability in context of PDEs
PDFBibTeX XMLCite
Full Text: EuDML EMIS