Abstract
The problem of obtaining upper and lower bounds for eigenvalues for regular Sturm-Liouville problems is considered in this paper. The goal is to find bounds in terms of integrals of the coefficients and avoid the use of pointwise bounds. The general weighted problem is studied.
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Brown, R.C., Hinton, D.B. (1997). Norm Eigenvalue bounds for some weighted Sturm-Liouville problems. In: Bandle, C., Everitt, W.N., Losonczi, L., Walter, W. (eds) General Inequalities 7. ISNM International Series of Numerical Mathematics, vol 123. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8942-1_11
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DOI: https://doi.org/10.1007/978-3-0348-8942-1_11
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