Abstract
In this paper we study an inverse problem for a singular ordinary differential equation in the half-line. We consider a class of positive weights such that the corresponding eigenvalues do not satisfy a Weyl-type asymptotic. We will show that the nodal data of eigenfunctions characterize the weight coefficient, and can be used to recover it.
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This work was partially supported by grants PIP 11220200102851CO, CONICET, and UBACYT 20020170100445BA.
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Oviedo, M., Pinasco, J.P. Inverse nodal problems for singular problems in the half-line. Bol. Soc. Mat. Mex. 29, 56 (2023). https://doi.org/10.1007/s40590-023-00530-2
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DOI: https://doi.org/10.1007/s40590-023-00530-2