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