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Asymptotic Expansions Ⅲ The Asymptotic Behaviour of the Real Solutions of Certain Second Order Differential Equations

机译:渐近展开式Ⅲ一类二阶微分方程实解的渐近性

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摘要

The advantage of this method is that (1,4) yields for θ(x) a differential equation of the first order not involving the function r(x). If we have determined by means of this differential equation the asymptotic behaviour of θ(x), then formula (1.5) gives us immediately by integration the asymptotic behaviour of 2 log r(x). In that case the asymptotic behaviour of θ(x) and r(x) and therefore also of the functions y(x) and y(x), occurring in (1.3), is known.

著录项

  • 作者

    J. G. van der Corput;

  • 作者单位
  • 年度 1955
  • 页码 1-179
  • 总页数 179
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 工业技术;
  • 关键词

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