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- W2951288148 abstract "In this paper, we find all possible asymptotic behaviours of the solutions of the second Painleve equation $y''=2y^3+xy +alpha$ as the parameter $alphatoinfty$ in the local region $xllalpha^{2/3}$. We prove that these are asymptotic behaviours by finding explicit error bounds. Moreover, we show that they are connected and complete in the sense that they correspond to all possible values of initial data given at a point in the local region." @default.
- W2951288148 created "2019-06-27" @default.
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- W2951288148 date "1997-10-24" @default.
- W2951288148 modified "2023-09-27" @default.
- W2951288148 title "The Second Painlev'e Equation in the Large-Parameter Limit I: Local Asymptotic Analysis" @default.
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