Oscillation of even order nonlinear delay dynamic equations on time scales


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Erbe L., Mert R., Peterson A., Zafer A.

CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.63, sa.1, ss.265-279, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Konu: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s10587-013-0017-1
  • Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.265-279

Özet

One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is sufficient for oscillation of even order dynamic equations on time scales. The arguments are based on Taylor monomials on time scales.