Lyapunov-type inequalities for a certain class of nonlinear systems

Tiryaki, Aydin; ÇAKMAK, DEVRİM; AKTAŞ, MUSTAFA

doi:10.1016/j.camwa.2012.02.019

Lyapunov-type inequalities for a certain class of nonlinear systems

Tiryaki A., ÇAKMAK D., AKTAŞ M. F.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.64, sa.6, ss.1804-1811, 2012 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 64 Sayı: 6
Basım Tarihi: 2012
Doi Numarası: 10.1016/j.camwa.2012.02.019
Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1804-1811
Gazi Üniversitesi Adresli: Evet

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.