We investigate the stability of positive stationary solutions of semilinear initial-boundary value problems with delay and convex or concave nonlinearity. If the nonlinearity is monotone, then in the convex case /(O) < 0 implies instability and in the concave case /(O) > 0 implies stability. Special cases are shown where the monotonicity assumption can be weakened or omitted.
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - Dec 1 2001|
- Concave nonlineariry
- Convex nonlinearity
- Semilinear equations with delay
- Stability of stationary solutions
ASJC Scopus subject areas