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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.