BEHAVIOR OF SOLUTIONS OF A NONLINEAR IMPULSIVE SYSTEM WITH PIECEWISE CONSTANT MIXED ARGUMENTS

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Buyukkahraman M. L., SEYHAN ÖZTEPE G., BEREKETOĞLU H.

MISKOLC MATHEMATICAL NOTES, cilt.21, sa.2, ss.733-746, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.18514/mmn.2020.3231
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.733-746
  • Anahtar Kelimeler: impulsive differential equation, piecewise constant argument, oscillation, periodicity, CELLULAR NEURAL-NETWORKS, DIFFERENTIAL-EQUATION, PERIODIC-SOLUTIONS, EXISTENCE
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we consider a nonlinear impulsive differential equation system with piecewise constant mixed arguments and prove the existence and uniqueness of a solution. Moreover, we obtain sufficient conditions for oscillation of the solution and give an example for it. Finally, we show that the solution of the modified version of this equation is k periodic.