Accession Number : ADA117067

Title :   A Liapunov Functional for Linear Volterra Integrodifferential Equations.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE RI LEFSCHETZ CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Abrahamson,D L ; Infante,E F

PDF Url : ADA117067

Report Date : Jan 1982

Pagination or Media Count : 25

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.

Descriptors :   *Linear differential equations, *Quadratic equations, *Volterra equations, Stability, Partial differential equations, Integral equations, Computations, Asymptotic series, Perturbations, Estimates

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE