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