Abstract
We consider transforming the scalar delay differential equation with time-varying delay $$\displaystyle x^{\prime }(t)=f(t,x(t),x(t-\tau (t)), $$ to a delay differential equation with a constant delay. Especially, we consider the case when τ(t) is a periodic function. Using the transformation, we identify conditions for the existence of a periodic solution of the delay differential equation with time-dependent delay.
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