A nodal inverse problem for second order Sturm–Liouville operators with indefinite weights

Juan P. Pinasco and Cristian Scarola

Applied Mathematics and Computation, 2015, vol. 256, issue C, 819-830

Abstract: In this paper we study an inverse problem for weighted second order Sturm–Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method.

Keywords: Inverse problems; Eigenvalues; Nodal points; Indefinite weights (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:256:y:2015:i:c:p:819-830

DOI: 10.1016/j.amc.2015.01.101

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