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On the boundedness of solutions of a non-autonomous differential equation of second order. (English) Zbl 1236.34043
The author considers the non-autonomous differential equation of second order $(r(t)x')'+\phi(t,x,x')x'+p(t)f(x)=q(t,x,x').$ Sufficient conditions for boundedness of the solutions of this equation (together with its derivatives) are obtained. Two examples are given to illustrate the results.

MSC:
 34C11 Growth and boundedness of solutions to ordinary differential equations