
Accession Number : AD0696325
Title : ON A PERTURBED VOLTERRA INTEGRAL EQUATION.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Strauss,Aaron
Report Date : MAY 1969
Pagination or Media Count : 19
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 wellbehaved, 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)
Descriptors : (*INTEGRAL EQUATIONS, PERTURBATION THEORY), MATRICES(MATHEMATICS), INEQUALITIES, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE