On the Eigenvalues of Second-Order Boundary-Value Problems
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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.
Description
Keywords
Boundary-Value Problems, Eigenvalues, Frechet Derivative, Numerical solution of nonlinear eigenvalue and eigenvector problems, boundary-value problems, eigenvalues, Boundary eigenvalue problems for ordinary differential equations, Frechet derivative
Fields of Science
0103 physical sciences, 0101 mathematics, 01 natural sciences
Citation
Uğurlu, Ekin (2020). "On the eigenvalues of second-order boundary-value problems", Journal of Applied Analysis and Computation, Vol. 10, no. 2, pp. 1897-1911.
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OpenCitations Citation Count
1
Volume
10
Issue
5
Start Page
1897
End Page
1911
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Scopus : 5
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