Stability to vector Li,nard equation with constant deviating argument

Tunc C.

NONLINEAR DYNAMICS, cilt.73, sa.3, ss.1245-1251, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s11071-012-0704-8
  • Dergi Adı: NONLINEAR DYNAMICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1245-1251
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we consider the vector Li,nard equation with the constant deviating argument, tau > 0, in two cases: (i) P(.)a parts per thousand 0, (ii) P(.)not equal 0. Based on the Lyapunov-Krasovskii functional approach, the asymptotic stability of the zero solution and the boundedness of all solutions are discussed for these cases. We give an example to illustrate the theoretical analysis made in this work and to show the effectiveness of the method utilized here.