Existence and qualitative properties of solutions of a second order mixed type impulsive differential equation with piecewise constant arguments

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Oztepe G.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.46, sa.6, ss.1077-1091, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 6
  • Basım Tarihi: 2017
  • Doi Numarası: 10.15672/hjms.2017.431
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1077-1091
  • Anahtar Kelimeler: Existence of solutions, Oscillation, Non-oscillation, Periodicity, Impulsive differential equation, Piecewise constant argument, ALMOST-PERIODIC-SOLUTIONS, GREENS-FUNCTION, OSCILLATION, NONOSCILLATION
  • Ankara Üniversitesi Adresli: Evet

Özet

We prove the existence and uniqueness of the solutions of a second order mixed type impulsive differential equation with piecewise constant arguments. Moreover, we study oscillation, non-oscillation and periodicity of the solutions.