Aclassofnonlinearsingularlyperturbedproblemsforreactiondiffusionequationsareconsidered.Undersuitableconditions,byusingthetheoryofdifferentialinequalities,theasymptoticbehaviorofsolutionsfortheinitialboundaryvalueproblemsarestudied,reducedproblemsofwhichpossesstwointersectingsolutions.