A Liapunov Functional for Linear Volterra Integrodifferential Equations.

Abstract

Liapunov functionals of quadratic form have been used extensively for the study of the stability properties of linear ordinary, functional and partial differential equations. In this paper, a quadratic functional V is constructed for a linear Volterra intergrodifferential equation. This functional, and its derivative, is more general than previously constructed ones and still retains desirable computational qualities; moreover, it represents a natural generalization of the Liapunov function for ordinary differential equations. The method of construction used suggests functionals which are useful for more general equations.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1982
Accession Number
ADA117067

Entities

People

  • D. L. Abrahamson
  • Ettore Ferrari Infante

Organizations

  • Brown University

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Communities of Interest

  • Air Platforms
  • Autonomy

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Computations
  • Computer Science
  • Construction
  • Differential Equations
  • Eigenvalues
  • Equations
  • Hilbert Space
  • Inequalities
  • Linear Algebra
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Real Variables
  • Rhode Island
  • Scientific Research

Fields of Study

  • Mathematics

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  • Calculus or Mathematical Analysis