
Accession Number : ADA193709
Title : IllPosed Problems and Integral Equations.
Descriptive Note : Final rept. 1 Aug 8314 Oct 87,
Corporate Author : DELAWARE UNIV NEWARK DEPT OF MATHEMATICAL SCIENCES
Personal Author(s) : Nashed, M Z ; Eggermont, Paul P
PDF Url : ADA193709
Report Date : 22 Feb 1988
Pagination or Media Count : 18
Abstract : This document addresses 5 substantial problems in the theory and numerical analysis of illposed problems and integral equations: (1) Collocation, and Galerkin methods for Volterra and Abel equations of the first kind; (2) Galerkin and collocation methods for nonlinear AbelVolterra integral equations on the halfline and on a finite interval; (3) a new approach to classification and regularization of illposed operator equations, and quantification of illposedness; (4) operator external problems in the theory of compensation and representation of control systems; (5) constrained leastsquares solutions of linear inclusions and singular control problems in Hilbert space. New notions of bivariational and singular variational derivatives for functionals are also studies. They will be applied to extend the von Mises calculus for statistical functionals and its applications to robustness and approximation theorems. Keyboards: Multivalued linear mappings; Kernel functions.
Descriptors : *INTEGRAL EQUATIONS, *NUMERICAL ANALYSIS, CALCULUS, COMPENSATION, CONTROL SYSTEMS, HILBERT SPACE, INTERVALS, KERNEL FUNCTIONS, LEAST SQUARES METHOD, OPERATORS(MATHEMATICS), SOLUTIONS(GENERAL), THEOREMS, THEORY
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE