Stability to vector Li,nard equation with constant deviating argument

Tunc C.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Konu: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s11071-012-0704-8
  • Sayfa Sayıları: ss.1245-1251


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.