PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions.

摘要

This report gives a comprehensive survey of an attempted global theory of perturbation of periodic solutions of systems of ordinary differential equations containing a parameter. Various other topics of independent interest related to this theory were also treated in the papers prepared under this contract but can not be abstracted here.