This work is concerned with the following nonlinear second order delay differential equations x′′(t)+p(t)x′(t)+q(t)x(t) = f(t, x(t), x(t−τ (t)), x′(t−τ (t))), t ∈ R, which includes many key second order delay differential equations that arise in nonlinear analysis and its applications. We use Perov’s fixed point theorem to prove the existence and uniqueness of periodic solutions for second order delay differential equations. Our results are obtained under general assumptions.
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