Accession Number : AD0775436

Title :   Nonlinear Volterra and Delay Equations.

Descriptive Note : Final rept. 1 Sep 64-8 Sep 73,

Corporate Author : WISCONSIN UNIV MADISON

Personal Author(s) : Levin,Jacob J. ; Nohel,John A.

Report Date : 07 FEB 1974

Pagination or Media Count : 6

Abstract : Nonlinear Volterra and delay equations arise naturally in various branches of science, for example heat transfer, superfluidity, viscoelasticity, biology, genetics, nuclear reactor dynamics, and control theory. The study of the qualitative behavior of solutions of such equations is of intrinsic mathematical interest. Research under this contract can be divided into the following six categories: Asymptotic Behavior of Solutions of Volterra equations; Reactor dynamics; Perturbation theory for Volterra equations; A boundedness problem for a nonlinear Volterra equation arising in nuclear reactor kinetics; A nonlinear Volterra equation occurring in heat transfer and other problems; Asymptotic behavior of the bounded solutions of various functional equations.

Descriptors :   *Volterra equations, Asymptotic series, Reactor kinetics, Perturbation theory, Heat transfer, Applied mathematics

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE