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On the boundedness of solutions of the equation $u''+(1+f(t))u=0$

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  • Sufficient conditions on the function $\,f\,$ are given which ensure the boundedness of the solutions of the second order linear differential equation $\,u''+(1+f(t))\,u=0\,$ as $\, t\rightarrow +\infty\,$. To do this, a suitable class of quadratic forms is introduced.
    Mathematics Subject Classification: Primary: 34C11; Secondary: 34D10.

    Citation:

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