THE ASYMPTOTIC STABILITY OF SOME INTEGRODIFFERENTIAL EQUATIONS

  • Chern, Jann-Long (Department of Mathematics, Center for Complex Systems, National Central University) ;
  • Huang, Shu-Zhu (Department of Mathematics, Center for Complex Systems, National Central University)
  • 발행 : 2000.05.01

초록

In this paper we consider two delay equations with in-finite delay. We will give two sufficient conditions for the positive and zero equilibriums of these equations to be a global attractor respectively.

키워드

참고문헌

  1. Science v.197 Oscillation and chaos in physiological control systems Glass L.;M.C. Mackey
  2. Annlas of the New York Academy of Sciences v.316 Pathological conditions resulting from instabilities in physiological control stystems
  3. Stability and Oscillations in Delay Differential Equations of Population Dynamics Gopalsamy K.
  4. Dynamics and Stability of Systems v.4 Oscillations and global attractivity in respiratory dynamics GopalsamyK.;M.R.S. Kulenovic;G. Ladas
  5. Oscillation Theiry of Delay Differential Equations with applications Gyori I;G. Ladas
  6. J. Computational Physics v.77 Onset of Chaos in Differential Delay equations Hale J.K.;N. Sternberg
  7. SIAM J. Math. Anal. v.25 Stability of some test equations with delay Kolmanovskii V.B.;L. Torelli;R. Vermiglio
  8. Theory of Differential Equations with Unbounded Delay Lakshmikantham V.;Lizhi Wen;B. Zhang
  9. Func. Biol. Med. v.156 Dynamical diseases and bifurcations: understanding functional disorders in physiological systems Mackey M.C.;U. an der Heiden
  10. Differential Equations and Dynamical System Perko L.
  11. Proceedings of the Workshop on PDE(Ⅱ) Homoclinic Chaos in Delay Equations Tsen F.-S.P.