
Accession Number : AD0679496
Title : ON THE ASYMPTOTIC SOLUTION OF MULTIPOINT BOUNDARY VALUE PROBLEMS.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : O'Malley,R. E. , Jr
Report Date : JUL 1968
Pagination or Media Count : 21
Abstract : The paper analyzes certain multipoint boundary value problems for linear ordinary differential equations which depend on a small, positive parameter epsilon. The differential order of both the equation and the boundary conditions are allowed to drop when epsilon = 0. Conditions are obtained to guarantee convergence to a limiting solution as epsilon approaches zero, and complete asymptotic expansions are then given. (Author)
Descriptors : (*BOUNDARY VALUE PROBLEMS, PERTURBATION THEORY), ASYMPTOTIC SERIES, MATRICES(MATHEMATICS), POWER SERIES, CONVERGENCE, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE