ALMOST PERIODIC BEHAVIOR OF SOLUTIONS OF A NONLINEAR VOLTERRA SYSTEM,

Abstract

The paper shows that a system of two nonlinear Volterra integral equations with almost periodic forcing has solutions which are asymptotically almost periodic. The Volterra system arises in a natural way by studying the boundary values of a solution of a heat equation with one space variable X ranging over a finite interval. In particular, the heat equation governs one dimensional flow of superfluid helium. The boundary conditions are general enough to include C.C. Lin's theory of superfluidity of helium. The problem studied here is motivated by a problem of helium flow with signosoidal forcing. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0696146

Entities

People

  • R. K. Miller

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Equations
  • Flow
  • Integral Equations
  • Integrals
  • Intervals
  • Mathematics
  • Superfluidity

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Space