Accession Number : AD0620109

Title :   ON THE DISTRIBUTION OF EIGENVALUES FOR AN NTH-ORDER EQUATION.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : McLeod,J. B.

Report Date : JUN 1965

Pagination or Media Count : 39

Abstract : The asymptotic behavior is discussed of the eigenvalues associated with a 2 nth order differential equation, (X < or = 0) and n homogeneous linear boundary conditions at x = 0. Work of Turrittin is used on the Stokes multipliers for asymptotic solutions of the differential equation. At the same time, it is shown how, at least in the case n = 2, this detailed work can be avoided, giving hope for extending these results to more general differential equations.

Descriptors :   (*DIFFERENTIAL EQUATIONS, DISTRIBUTION THEORY), FUNCTIONAL ANALYSIS

Distribution Statement : APPROVED FOR PUBLIC RELEASE