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Periodic solutions of a nonlinear second-order differential equation with deviating argument. (English) Zbl 1126.34362

By means of the coincidence degree continuation theorem, the authors study the existence of the periodic solutions of a nonlinear second-order differential equation with deviating argument
\[ x''(t)+f_1(x(t))x'(t)+f_2(x(t))(x'(t))^2+g(x(t-\tau (t)))=0, \]
and obtains some interesting results.

MSC:

34K13 Periodic solutions to functional-differential equations
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References:

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