Grossinho, Maria do RosárioOmari, Pierpaolo2023-04-242023-04-241999Grossinho, Maria do Rosário and Pierpaolo Omari. (1999). "Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein-type conditions". Electronic Journal of Qualitative Theory of Differential Equations, No. 9: pp. 1-24. (Search PDF in 2023).1417-3875http://hdl.handle.net/10400.5/27654We prove the solvability of the parabolic problema … assuming certain conditions on the asymptotic behaviour of the ratio … with respect to the principal eigenvalue of the associated linear problem. The method of proof, which is based on the construction of upper and lower solutions, also yields information on the localization and the stability of the solution.engParabolic EquationPeriodic SolutionHammerstein’s ConditionUpper and Lower SolutionsExistenceLocalizationStabilityjournal article