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UPA Perpustakaan Universitas Jember

Dependence of eigenvalues of mth-order spectral problems

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A regular 2mth-order spectral problem with self-adjoint boundary conditions is
considered in this paper. The continuous dependence of eigenvalues and normalized
eigenfunctions on the problem is researched. The derivative formulas of eigenvalues
with respect to the given parameters are obtained: endpoints, boundary conditions,
coefficients and the weight function. These are of both theoretical and
computational importance.

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