Accession Number : AD0705210

Title :   A BIFURCATION PROBLEM FOR A FUNCTIONAL DIFFERENTIAL EQUATION OF FINITELY RETARDED TYPE,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Chafee,Nathaniel

Report Date : 1969

Pagination or Media Count : 66

Abstract : 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.

Descriptors :   (*FUNCTIONAL ANALYSIS, *DIFFERENTIAL EQUATIONS), MATRICES(MATHEMATICS), TOPOLOGY, STABILITY, TABLES(DATA)

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE