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 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)

Descriptors :   (*INTEGRAL EQUATIONS, PERTURBATION THEORY), MATRICES(MATHEMATICS), INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE