GLOBAL CONTINUA OF PERIODIC SOLUTIONS TO SOME DIFFERENCE-DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

抄録

In this paper, we apply a global bifurcation theorem of Alexander-Yorke type to investigate the global continua of periodic solutions of a scalar neutral functional differential equation arising from the study of lossless transmission lines. It will be shown that the considered equation has a slowly oscillating periodic solution and several rapidly oscillating periodic solutions. It will also be demonstrated that this seemingly simple equation raises several unanswered questions.