• Corpus ID: 119598640

On non-normal solutions of linear differential equations

  title={On non-normal solutions of linear differential equations},
  author={Janne Grohn},
  • J. Grohn
  • Published 30 January 2016
  • Mathematics
Normality arguments are applied to study the oscillation of solutions of f ′′ +Af = 0, where the coefficient A is analytic in the unit disc D and supz∈D(1 − |z| )|A(z)| < ∞. It is shown that such differential equation may admit a non-normal solution having prescribed uniformly separated zeros. 

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Behavior of solutions of f′′+Af=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}

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