Accession Number : AD0681407

Title :   REGULAR PERTURBATION FOR A TURNING POINT PROBLEM.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Hsieh,Po-Fang

Report Date : SEP 1968

Pagination or Media Count : 40

Abstract : A block-diagonalization theorem for rho dy/dx = (x to the pth power A(x, epsilon) + rho B(x, epsilon))y at a turning point x = 0 is proved. Specially, this process is shown to be analytic with respect to a factor beta = rho to the power (1/(p+1)). (Author)

Descriptors :   (*DIFFERENTIAL EQUATIONS, *ASYMPTOTIC SERIES), PERTURBATION THEORY, TRANSFORMATIONS(MATHEMATICS), NONLINEAR DIFFERENTIAL EQUATIONS, COMPLEX VARIABLES, MATRICES(MATHEMATICS), NUMERICAL INTEGRATION, INEQUALITIES, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE