Lyapunov-type inequalities for a certain class of nonlinear systems


Tiryaki A., ÇAKMAK D. , AKTAŞ M. F.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.64, ss.1804-1811, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 64 Konu: 6
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.camwa.2012.02.019
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Sayfa Sayıları: ss.1804-1811

Özet

In this paper, we state and prove some new Lyapunov-type inequalities for a class of nonlinear systems, special cases of which contain the well-known Hamiltonian system, Emden-Fowler, half-linear and linear differential equations of second order. Our results improve and generalize these types of inequalities related to all existing ones. (c) 2012 Elsevier Ltd. All rights reserved.