ON THE DISTRIBUTION OF EIGENVALUES FOR AN NTH-ORDER EQUATION.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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.