Gaponenko, Yu. L. On the question of boundedness of the solution of a second order linear equation. (Russian) Zbl 0613.34027 Differ. Uravn. 22, No. 5, 890-891 (1986). A general second order linear non-homogeneous ordinary differential equation is considered on the interval \((0,+\infty)\). The coefficients are supposed to be bounded functions, the upper and lower bounds satisfy a condition. The boundedness of the solution with initial values \(x(0)=x'(0)=0\) is proved. Reviewer: P.Moson MSC: 34C11 Growth and boundedness of solutions to ordinary differential equations Keywords:second order linear non-homogeneous ordinary differential equation; boundedness PDFBibTeX XMLCite \textit{Yu. L. Gaponenko}, Differ. Uravn. 22, No. 5, 890--891 (1986; Zbl 0613.34027)