HILL'S EQUATION. PART II. TRANSFORMATIONS, APPROXIMATION, EXAMPLES.

Abstract

It is the purpose of this report on Hill's equation to provide the reader with a few ready made transformation and approximation formulas which may be useful to anyone working on a particular problem. Some examples are discussed in detail, partly because they illustrate the general theory and partly because they appear frequently in applications. The section on the coexistence problem contains a little more than mere examples. It may be considered as a complete discussion of those results which can be obtained from the investigation of three term recurrence relations. A third part of this report will contain applications of the theory to problems of physics and engineering.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1961
Accession Number
AD0606024

Entities

People

  • S. Winkler
  • W. Magnus

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Engineering
  • Equations
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Environmental Remediation and Restoration.
  • Linear Algebra
  • Theoretical Analysis.