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On solutions of \(x''=t^{\alpha\lambda-2}x^{1+\alpha}\) where \(\alpha>0\) and \(\lambda=0\), \(-1\). (English) Zbl 1112.34324

The author studies the asymptotic behavior of positive solutions of an initial value problem.

MSC:

34D05 Asymptotic properties of solutions to ordinary differential equations
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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