Global attractivity of the zero solution of a class of functional differential equations and its applications

摘要

The global attractivity of the zero solution of the delay functional differential equation x(t)+ [1+x(t)] F(t, x(·)) = 0 is studied by using a new technique. When this result is applied to some special delay bio-mathematics models, some conjectures and open problems appearing in literature are solved, and many known results are improved.