A BIFURCATION PROBLEM FOR A FUNCTIONAL DIFFERENTIAL EQUATION OF FINITELY RETARDED TYPE,
BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
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The qualitative behavior of solutions near an equilibrium point of an autonomous functional differential equation of finitely retarded type is examined. In particular, under certain appropriate hypotheses, it is shown that, as a certain parameter varies in a prescribed way, a family of one or more periodic orbits of the given equation bifurcates from the given equilibrium point. Suitable stability properties of these closed orbits are determined.
- Theoretical Mathematics