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The authors use coincidence degree theory to establish some new results on the existence of T -periodic solutions for the delay differential equation x ′′(t) + a1x ′(t) + a2(x n(t))′ + a3x(t) + a4x(t− τ) + a5x n(t) + a6x n(t− τ) = f(t), which appears in a model of a power system. These results are of practical significance.

Periodic solutions for some delay differential equations appearing in models of power systems