This paper is a further extension of our recent work (3-6). We shall generally study the existence of multiple periodic solutions of differential delay equations x'(t)=-+sum from i=1 to n-1 delta_if(x(t-r_i)), (1.1)_(+-) where delta_1 ident to 1, delta_i = 1 or -1 for i = 2, -, n-1, r_i>0 for i = 1, -, n-1.
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