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On the question of boundedness of the solution of a second order linear equation. (Russian) Zbl 0613.34027

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
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