Second-order nonlinear differential equations with an infinite set of periodic solutions. (English) Zbl 1277.34048

Kiguradze, I.

Nonlinear Oscil., N.Y. 11, No. 4, 521-526 (2008) and Nelinijni Kolyvannya 11, No. 4, 495-500 (2008).

Summary: For the differential equation \(u'' = f(t, u, u')\), where the function \(f: R \times R^2 \to R\) is periodic in the first variable and \(f(t, x, 0) \equiv 0\), sufficient conditions for the existence of a continuum of nonconstant periodic solutions are found.

MSC:

34C25

Periodic solutions to ordinary differential equations

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