Batalova, Z. S.; Bukhalova, N. V. On stationary and periodic solutions of a nonlinear nonautonomous differential equation. (Russian) Zbl 0632.34040 Differ. Uravn. 23, No. 3, 401-409 (1987). The paper is concerned with the qualitative study of the equation \(\ddot x+h\dot x+\mu \sin t \sin x=0\) with respect to the parameters h, \(\mu\). The following problems are tackled: steady-state and periodic solutions for small \(\mu\) and h via the method of Cesari; prolongation of the steady-state and periodic solutions for larger values of h and \(\mu\), namely \(\{0<\mu \leq 20\), \(0<h\leq 5\}\) for steady state and \(\{0<\mu \leq 5\), \(0<h\leq 2.5\}\) for periodic solutions. For this last problem numerical determination of periodic solutions is performed together with their stability; also the bifurcation diagrams are obtained. Reviewer: V.Răsvan Cited in 1 Review MSC: 34C25 Periodic solutions to ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems Keywords:second order differential equation; numerical solution; bifurcation diagrams PDFBibTeX XMLCite \textit{Z. S. Batalova} and \textit{N. V. Bukhalova}, Differ. Uravn. 23, No. 3, 401--409 (1987; Zbl 0632.34040)