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Oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions via Prüfer transformation

  • Zhi-yu Li,
  • Kun Li,
  • Jin-ming Cai,
  • Jian-fang Qin,
  • Zhao-wen Zheng

摘要

A class of Sturm-Liouville problems with discontinuity is studied in this paper. The oscillation properties of eigenfunctions for Sturm-Liouville problems with interface conditions are obtained. The main method used in this paper is based on Prüfer transformation, which is different from the classical ones. Moreover, we give two examples to verify our main results.