Author:
Binding P. A.,Browne P. J.,Seddighi K.
Abstract
Sturm theory is extended to the equationfor 1/p, q, r∈L1 [0, 1] with p, r > 0, subject to boundary conditionsandOscillation and comparison results are given, and asymptotic estimates are developed. Interlacing of eigenvalues with those of a standard Sturm–Liouville problem where the boundary conditions are ajy(j) = cj(py′)(j), j=0, 1, forms a key tool.
Publisher
Cambridge University Press (CUP)
Reference12 articles.
1. Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
2. Asymptotics of the number of zeros and of the eigenvalues of general weighted Sturm–Liouville problems;Atkinson;J. Reine Angew. Math.,1987
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