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- Title
A regularized trace formula and oscillation of eigenfunctions of a Sturm-Liouville operator with retarded argument at 2 points of discontinuity.
- Authors
Şen, Erdoğan
- Abstract
In this study, first, a formula for regularized sums of eigenvalues of a Sturm-Liouville problem with retarded argument at 2 points of discontinuity which contains a spectral parameter in the boundary conditions is obtained. After that, oscillation properties of the related problem is investigated. Finally, under the condition that a subset of nodal points is dense in definition set, the potential function is determined.
- Subjects
STURM-Liouville equation; EIGENFUNCTIONS of operators; NUMERICAL solutions to delay differential equations; OSCILLATION theory of differential equations; NODAL planes
- Publication
Mathematical Methods in the Applied Sciences, 2017, Vol 40, Issue 18, p7051
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4512