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We use the contraction mapping theorem to obtain stability results of the scalar nonlinear neutral differential equation with functional delay 𝑥′(𝑡) = –𝑎𝑥(𝑡) + 𝑏(𝑡)𝑥2(𝑡 – 𝑟(𝑡)) + 𝑐(𝑡)𝑥(𝑡 – 𝑟(𝑡))𝑥′(𝑡 – 𝑟(𝑡)).

In this paper, we consider a class of second order differential equations with iterative source term. The main results are obtained by virtue of a Krasnoselskii fixed point theorem and some useful properties of a Green's function which allows us to prove the existence of positive periodic solutions. Finally, an example is included to illustrate the correctness of our results.

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