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

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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.

Author(s):
Mcleod, J. B.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Annotation:
Distribution of eigenvalues for an nth-order equation.
Pagination:
0039

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-576
Contract/Grant Number(s):
DA11 022ORD2059
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*DIFFERENTIAL EQUATIONS, DISTRIBUTION THEORY), FUNCTIONAL ANALYSIS
Report Date:
1965 Jun 01