Nonrectifiable oscillatory solutions of second order linear differential equations

Takanao Kanemitsu, Satoshi Tanaka

Research output: Contribution to journalArticlepeer-review

Abstract

The second order linear differential equation (p(x)y′)′ + q(x)y = 0, x ∈ (0, x0] is considered, where p, q ∈ C1(0, x0], p(x) > 0, q(x) > 0 for x ∈ (0, x0]. Sufficient conditions are established for every nontrivial solutions to be nonrectifiable oscillatory near x = 0 without the Hartman–Wintner condition.

Original languageEnglish
Pages (from-to)193-201
Number of pages9
JournalArchivum Mathematicum
Volume53
Issue number4
DOIs
Publication statusPublished - 2017

Keywords

  • Nonrectifiable
  • Oscillatory
  • Second order linear differential equation

ASJC Scopus subject areas

  • Mathematics(all)

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