ON A PERTURBED VOLTERRA INTEGRAL EQUATION.

Abstract

For the Volterra integral equation x(t) = f(t) - the integral from 0 to t of (a(t,s)(x(s) + g(s,x(s))) ds), if the resolvent kernel of a(t,s) is sufficiently well-behaved, and if the absolute value of g(t,s) approaches 0 as t approaches infinity in some sense, then the absolute value of (x(t) - y(t)) approaches 0 as t approaches infinity, where y(t) is the solution of y(t) = f(t) - the integral from 0 to t of (a(t,s) y(s) ds). (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1969
Accession Number
AD0696325

Entities

People

  • Aaron Strauss

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Equations
  • Integral Equations
  • Integrals

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis