Global Attractor For Reaction Diffusion Equations With Delays

This thesis is concerned with the existence of global attractor forreaction diffusion equation with delays. In Chapter one, firstly, the importantconcept of global attractor and absorbing sets are given, and then, a generalresult which ensures the existence of global attractor is proven. In Chaptertwo, the existence of global attractor for a reaction diffusion equations withdelays in ecology is proven, then using the mathematical induction and delicateanalysis for this model, the regularity of the global attractor is demonstrated. InChapter three, the existence of global attractor for Fitz-Hugh-Nagumo systemswith delays is proven, by constructing a Lyapunov functional. In Chapter four,the sufficient condition of the existence of global attractor for partly dissipativereaction diffusion equations with delays is obtained by matrix analysis andsplitting technique.