Oscillation and nonoscillation of half-linear Euler type differential equations with different periodic coefficients

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Mısır A., Mermerkaya B.

OPEN MATHEMATICS, cilt.15, ss.548-561, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1515/math-2017-0046
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.548-561
  • Anahtar Kelimeler: Half-linear differential equation, Euler equation, Riemann-Weber equation, Prufer transformation, Critical oscillation constant, OPERATORS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with alpha-periodic positive coefficients. Additionally, our result is new and original in case that the least common multiple of these periods is not defined. We give an example and corollaries which illustrate cases that are solved with our result.