On lyapunov-type inequality for a class of quasilinear systems

Cakmak D.

Electronic Journal of Qualitative Theory of Differential Equations, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2014
  • Doi Numarası: 10.14232/ejqtde.2014.1.9
  • Dergi Adı: Electronic Journal of Qualitative Theory of Differential Equations
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Lyapunov-type inequality, quasilinear system, lower bound, LIAPUNOV-TYPE INEQUALITY, DIFFERENTIAL-EQUATIONS, ELLIPTIC-SYSTEMS, EIGENVALUES, (P(1)
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we establish a new Lyapunov-type inequality for quasilinear systems. Our result in special case reduces to the result ofWatanabe et al. [J. Inequal. Appl. 242(2012), 1-8]. As an application, we also obtain lower bounds for the eigenvalues of corresponding systems.