Farkas, GyulaSimon, Peter L2020-02-212020-02-212001-10-08Farkas, G., & Simon, P. L. (2001). Stability properties of positive solutions to partial differential equations with delay. <i>Electronic Journal of Differential Equations, 2001</i>(64), pp. 1-8.1072-6691https://hdl.handle.net/10877/9329We 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 ƒ(0) ≤ 0 implies instability and in the concave case ƒ(0) ≥ 0 implies stability. Special cases are shown where the monotonicity assumption can be weakened or omitted.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalSemilinear equations with delayStability of stationary solutionsConvex nonlinearityconcave nonlinearityArticle