Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients

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Mısır A., Mermerkaya B.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.29, sa.1, ss.79-86, 2016 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29 Sayı: 1
  • Basım Tarihi: 2016
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.79-86
  • Anahtar Kelimeler: Half linear differential 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. If the periods of these functions are coincide, our result reduce to Dosly and Hasil's result, which were published in Annali di Matematica 190 (2011) 395-408. Finally some examples are also given to illustrate the result.