ALMOST PERIODIC BEHAVIOR OF SOLUTIONS OF A NONLINEAR VOLTERRA SYSTEM. II,

Abstract

The paper studies forced almost periodic oscillations in a nonlinear system of two Volterra integral equations. It is a sequel paper to an earlier paper on the same topic. Earlier results are improved in two ways. First, it is shown that the oscillatory solution is Lyapunov stable under small perturbations in the coefficients of the equation. Secondly, it is shown that whenever the coefficients are quasiperiodic and analytic, the almost periodic oscillation is in the same class. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1970
Accession Number
AD0709225

Entities

People

  • R. K. Miller

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Nonlinear Systems
  • Oscillation
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Theoretical Analysis.