Periodic Solutions of Perturbed Neutral Differential Equations,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1972
- Accession Number
- AD0753712
Entities
People
- Orlando Lopes
Organizations
- Brown University