De La Vallée Poussin-type inequality for impulsive dynamic equations on time scales

DOĞRU AKGÖL S., Özbekler A.

Dynamic Calculus and Equations on Time Scales, Svetlin G. Georgiev, Editör, De Gruyter, Berlin, ss.295-304, 2023 identifier

  • Yayın Türü: Kitapta Bölüm / Araştırma Kitabı
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1515/9783111182971-009
  • Yayınevi: De Gruyter
  • Basıldığı Şehir: Berlin
  • Sayfa Sayıları: ss.295-304
  • Editörler: Svetlin G. Georgiev, Editör
  • Çukurova Üniversitesi Adresli: Hayır

Özet

We derive a de La Vallée Poussin-type inequality for impulsive dynamic equations on time scales. This inequality is often used in conjunction with disconjugacy and/or (non)oscillation. Hence, it appears to be a very useful tool for the qualitative study of dynamic equations. In this work, generalizing the classical de La Vallée Poussin inequality for impulsive dynamic equations on arbitrary time scales, we obtain a dis-conjugacy criterion and some results on nonoscillation. We also present illustrative examples that support our findings.