Estimates of Periods and Global Continua of Periodic Solutions for State-Dependent Delay Equations

نویسندگان

  • Qingwen Hu
  • Jianhong Wu
  • Xingfu Zou
چکیده

We study the global Hopf bifurcation of periodic solutions for one-parameter systems of state-dependent delay differential equations, and specifically we obtain a priori estimates of the periods in terms of certain values of the state-dependent delay along continua of periodic solutions in the Fuller space C(R;RN+1) × R2. We present an example of three-dimensional state-dependent delay differential equations to illustrate the general results.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 44  شماره 

صفحات  -

تاریخ انتشار 2012