
Accession Number : AD0678974
Title : ON SINGULAR PERTURBATION PROBLEMS WITH INTERIOR NONUNIFORMITIES.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : O'Malley,R. E. , Jr
Report Date : APR 1968
Pagination or Media Count : 20
Abstract : Certain boundary value problems of the form epsilon y double prime = f(x,y,y', epsilon), 0 = or < x = or < 1; y(0) = alpha(epsilon), y(1) = beta(epsilon) have solutions whose derivatives exhibit nonuniform convergence within (0,1) as epsilon approaches 0+. A method for constructing asymptotic solutions to such problems is presented. The work is related to previous investigations by Haber and Levinson and Vasil'eva. (Author)
Descriptors : (*BOUNDARY VALUE PROBLEMS, *PERTURBATION THEORY), APPROXIMATION(MATHEMATICS), ASYMPTOTIC SERIES, NUMERICAL INTEGRATION, CONVERGENCE, THEOREMS
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE