
Accession Number : AD0753712
Title : Periodic Solutions of Perturbed Neutral Differential Equations,
Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS
Personal Author(s) : Lopes,Orlando
Report Date : 1972
Pagination or Media Count : 12
Abstract : In the paper the author proves that if a periodic neutral differential equation with uniformly stable D operator (which includes retarded equations) has an uniformly asymptotically stable equilibrium point, and one perturbs the equation slightly then a periodic solution of the same period will exist. Since a generalization of a Browder's asymptotic fixed point theorem is available, the author will not assume that the period is greater than the lag, and this makes possible to extend the results for existence of an equilibrium point if the system and the perturbations are autonomous. (Author)
Descriptors : (*DIFFERENTIAL EQUATIONS, PERTURBATION THEORY), NUMERICAL INTEGRATION, TOPOLOGY, ASYMPTOTIC SERIES, VECTOR SPACES, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE