Sturm-Picone comparison theorems for nonlinear impulsive differential equations with discontinuous solutions


Kayar Z. , Masiha S. K.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.40, ss.7879-7888, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 18
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1002/mma.4571
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.7879-7888

Özet

The nonlinear versions of Sturm-Picone comparison theorem as well as Leighton's variational lemma and Leighton's theorem for regular and singular nonlinear impulsive differential equations with discontinuous solutions having fixedmoments of impulse actions are established. Although discontinuity of the solutions causes some difficulties, these new comparison theorems cover the old ones where impulse effects are dropped.