NEW RESULTS ON PERIODIC SURFACES AND THE AVERAGING PRINCIPLE.
Abstract
In his recent work on periodic surfaces Sacker established the existence of an epsilon-family y = S(theta, epsilon) defined for an open interval of the perturbation parameter epsilon not including zero, i.e. for suitable epsilon superscript 0, S is defined for 0 < epsilon < t superscript 0. One result of this paper is to show lim as epsilon approaches 0 of S(theta, epsilon) exists and to calculate it. The tools developed for doing this also allow one to give a complete version of the 'averaging principle' as a device for finding expansions for solutions--provided one uses the author's generalization of the K-B averaging technique. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0660052
Entities
People
- Stephen P. Diliberto
Organizations
- University of California, Berkeley