Lyapunov-type inequalities for nonlinear systems

Tiryaki A., Unal M., ÇAKMAK D.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.332, sa.1, ss.497-511, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 332 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.jmaa.2006.10.010
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.497-511
  • Anahtar Kelimeler: Hamiltonian system, Lyapunov-type inequality, second order, ordinary differential equations, DIFFERENTIAL-EQUATIONS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper. by using elementary analysis, we establish some new Lyapunov-type inequalities for nonlinear systems of differential equations, special cases of which contain the well-known equations such as Emden-Fowler-type and half-linear equations. The inequalities obtained here can be used as handy tools in the study of qualitative behaviour of solutions of the associated equations. (c) 2006 Elsevier Inc. All rights reserved.