STURM-PICONE COMPARISON THEOREMS FOR NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS

Kayar Z., Masiha S. K. R.

MATHEMATICA SLOVACA, cilt.68, sa.6, ss.1373-1384, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1515/ms-2017-0188
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1373-1384
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The celebrated Sturm-Picone comparison theorem as well as the well known Leighton's variational lemma and Leighton's theorem, all of which are the fundamental tools of comparison and so, oscillation theory, are obtained for regular and singular nonlinear impulsive differential equations and related previous results in the literature are generalized to such equations. (C) 2018 Mathematical Institute Slovak Academy of Sciences