EXISTENCE, UNIQUENESS AND ASYMPTOTIC STABILITY OF PERIODIC-SOLUTIONS OF PERIODIC FUNCTIONAL-DIFFERENTIAL SYSTEMS

We consider here a general Lotka-Volterra type n-dimensional periodic functional differential system. Sufficient conditions for the existenc e, uniqueness and global asymptotic stability of periodic solutions ar e established by combining the theory of monotone flow generated by FD Es, Horn's asymptotic fixed point theorem and linearized stability ana lysis. These conditions improve and generalize the recent ones obtaine d by Freedman and Wu (1992) for scalar equations. We also present a no ntrivial application of our results to a delayed nonautonomous predato r-prey system.