Constantin's inequality for nabla and diamond-alpha derivative

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GÜVENİLİR A. F., Kaymakcalan B., Pelen N. N.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1186/s13660-015-0681-9
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Constantin's inequality, nabla differentiation, nabla integration, diamond-alpha differentiation, diamond-alpha integration, PERTURBED DIFFERENTIAL-EQUATIONS, TIME SCALES
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Calculus for dynamic equations on time scales, which offers a unification of discrete and continuous systems, is a recently developed theory. Our aim is to investigate Constantin's inequality on time scales that is an important tool used in determining some properties of various dynamic equations such as global existence, uniqueness and stability. In this paper, Constantin's inequality is investigated in particular for nabla and diamond-alpha derivatives.