Dynamic Behavior from Asymptotic Expansions.

Abstract

The purpose of this paper is to discuss stability properties of solutions of periodic and almost periodic differential equations cntaining a small parameter. the existence of the solution can be obtained in the first approximation but the stability only after k-approximations. We obtain the results using asymptotic expansions, higher order averaging and the concept of exponential hyperbolicity of order k. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1982
Accession Number
ADA117261

Entities

People

  • Jack K. Hale
  • Luiz Carlos Pavlu

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms
  • Autonomy

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Asymptotic Series
  • Autonomous Systems
  • Banach Space
  • Differential Equations
  • Eigenvalues
  • Equations
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • New York
  • Periodic Functions
  • Real Variables
  • Scientific Research
  • Variational Equations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis