Inequalities among eigenvalues of Sturm-Liouville problems.
Eastham, M.S.P., Kong, Q., Wu, H., Zettl, A. (1999)
Journal of Inequalities and Applications [electronic only]
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Eastham, M.S.P., Kong, Q., Wu, H., Zettl, A. (1999)
Journal of Inequalities and Applications [electronic only]
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We study a Sturm-Liouville problem containing a spectral parameter in the boundary conditions. We associate to this problem a self-adjoint operator in a Pontryagin space Π₁. Using this operator-theoretic formulation and analytic methods, we study the asymptotic behavior of the eigenvalues under the variation of a large physical parameter in the boundary conditions. The spectral analysis is applied to investigate the well-posedness and stability of the wave equation of a string. ...
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