Accession Number : AD0773609

Title :   Singular Perturbations of Boundary Problem for a Vector Second Order Equation.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Change,K. W.

Report Date : DEC 1973

Pagination or Media Count : 29

Abstract : ;MRC-TSR-1400DA-31-124-ARO(D)-462*Boundary value problems, Matrices(Mathematics), Transformations(Mathematics), Theorems, Perturbation theoryThe author studies the boundary value problem epsilon(y double prime) + A(t, epsilon, y)y' = f(t, epsilon, y) y(0, epsilon) = alpha(epsilon), y(1, epsilon) = beta(epsilon), where epsilon > 0 is a small parameter, y, f, alpha, beta are n-dimensional vector functions and A is an n x n matrix function. This vector boundary problem does not appear to have been studied, although the scalar boundary problem has been treated extensively. Under appropriate assumptions, the author obtains existence of solution as in the scalar problem. A converse result is also obtained. (Author)

Descriptors :   *BOUNDARY VALUE PROBLEMS, MATRICES(MATHEMATICS), TRANSFORMATIONS(MATHEMATICS), THEOREMS, PERTURBATION THEORY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE