Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609466 | Journal of Differential Equations | 2016 | 17 Pages |
Abstract
In this paper we study an inverse problem for a quasi-linear ordinary differential equation with a monotonic weight in the half-line. First, we find the asymptotic behavior of the singular eigenvalues, and we obtain a Weyl-type asymptotics imposing an appropriate integrability condition on the weight. Then, we investigate the inverse problem of recovering the coefficients from nodal data. We show that any dense subset of nodes of the eigenfunctions is enough to recover the weight.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Juan P. Pinasco, Cristian Scarola,