UNBOUNDED CONTINUUM OF PERIODIC-SOLUTIONS FOR AUTONOMOUS DELAY EQUATIONS

This work is devoted to the study of the existence of an unbounded con tinuum of periodic solutions that appear by Hopf bifurcation in non-li near delay differential equations. Our main objective is to give a the orem that guarantees the appearance of an unbounded continuum of perio dic solutions. Furthermore, the verification of the hypotheses require s much less effort than the known results in the literature. In the la st section some applications to examples already studied show the powe r Of the theorem. (C) 1996 Academic Press, Inc.