| Volume 10, Number 5, 2020, Pages 1897-1911 DOI：10.11948/20190281 |
| On the eigenvalues of second-order boundary-value problems |
| Ekin Ugurlu |
| Keywords:Boundary-value problems, eigenvalues, Frechet derivative. |
| Abstract: |
| In this paper we investigate the properties of eigenvalues of some boundary-value problems generated by second-order Sturm-Liouville equation with distributional potentials and suitable boundary conditions. Moreover, we share a necessary condition for the problem to have an infinitely many eigenvalues. Finally, we introduce some ordinary and Frechet derivatives of the eigenvalues with respect to some elements of the data. |
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