ON THE EIGENVALUES OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS | Zendy

Ekin Uğurlu | Zendy

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ON THE EIGENVALUES OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS

Author(s) -

Ekin Uğurlu

Publication year - 2020

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/20190281

Subject(s) - eigenvalues and eigenvectors , mathematics , boundary value problem , matrix differential equation , mathematical analysis , order (exchange) , eigenvalues and eigenvectors of the second derivative , eigenvalue perturbation , value (mathematics) , boundary values , spectrum of a matrix , differential equation , statistics , physics , finance , quantum mechanics , economics

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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