Lyapunov-type inequalities for nonlinear impulsive systems with applications


Kayar Z., Zafer A.

Electronic Journal of Qualitative Theory of Differential Equations, ss.1-13, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Basım Tarihi: 2016
  • Doi Numarası: 10.14232/ejqtde.2016.1.27
  • Dergi Adı: Electronic Journal of Qualitative Theory of Differential Equations
  • Sayfa Sayıları: ss.1-13

Özet

We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, special cases of which include the impulsive Emden-Fowler equations and half-linear equations. By applying these inequalities, sufficient conditions are derived for the disconjugacy of solutions and the boundedness of weakly oscillatory solutions.