Asymptotics for a class of weighted eigenvalue problems

Philip Walker · Pacific Journal of Mathematics · 1972

This paper deals with the asymptotic behavior at infinity of the solutions to /(y) = λwy on [a, oo) where / is an nth order ordinary linear differential operator, λ is a nonzero complex number and w is a suitably chosen positive valued continuous functions.As an application the deficiency indices of certain symmetric differential operators in Hubert space are computed.

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