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A NOTE ON THE RELATIVE ERROR FOR THE EIGENVALUES OF THE STURM-LIOUVILLE PROBLEM

1999
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Demonstratio Mathematica
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Introduction This work is motivated as an attempt to deal with an estimation of the relative error for the eigenvalues of the Sturm-Liouville problem. We are interested in finding upper bounds for such error. The uniform spectral continuity of this operator was treated in [14] in very simple manner. It is worth pointing out that the knowledge of the bounds for these two errors allows us to consider the eigenvalue problem for Sturm-Liouville operator in normal form to be perfectly posed for each

doi:10.1515/dema-1999-0213
fatcat:uy6pg44evjesng4op6cahage4q