Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument

Erdoğan Şen

doi:10.17776/csj.416602

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Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument

Abstract

In this study, a formula for regularized sums of eigenvalues and nodal points of eigenfunctions for a discontinuous Sturm-Liouville problem with a constant retarded argument. Contrary to standart problems the spectral parameter appears not only in the differential equation, but also in one of the boundary conditions. Thus, we see whether the nodal points of eigenfunctions and the trace change or not.

Keywords

Differential equation with retarded argument,transmission conditions,spectrum,nodal points,regularized trace

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Erdoğan Şen
0000-0001-6603-2652
Türkiye

Publication Date

September 30, 2018

Submission Date

April 18, 2018

Acceptance Date

September 28, 2018

Published in Issue

Year 2018 Volume: 39 Number: 3

DOI

https://doi.org/10.17776/csj.416602

IZ

https://izlik.org/JA34NW64AG

APA

Şen, E. (2018). Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. Cumhuriyet Science Journal, 39(3), 597-607. https://doi.org/10.17776/csj.416602

AMA

1.Şen E. Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. CSJ. 2018;39(3):597-607. doi:10.17776/csj.416602

Chicago

Şen, Erdoğan. 2018. “Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem With Retarded Argument”. Cumhuriyet Science Journal 39 (3): 597-607. https://doi.org/10.17776/csj.416602.

EndNote

Şen E (September 1, 2018) Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. Cumhuriyet Science Journal 39 3 597–607.

IEEE

[1]E. Şen, “Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument”, CSJ, vol. 39, no. 3, pp. 597–607, Sept. 2018, doi: 10.17776/csj.416602.

ISNAD

Şen, Erdoğan. “Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem With Retarded Argument”. Cumhuriyet Science Journal 39/3 (September 1, 2018): 597-607. https://doi.org/10.17776/csj.416602.

JAMA

1.Şen E. Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. CSJ. 2018;39:597–607.

MLA

Şen, Erdoğan. “Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem With Retarded Argument”. Cumhuriyet Science Journal, vol. 39, no. 3, Sept. 2018, pp. 597-0, doi:10.17776/csj.416602.

Vancouver

1.Erdoğan Şen. Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. CSJ. 2018 Sep. 1;39(3):597-60. doi:10.17776/csj.416602

Cited By

Sınır Koşulunda Öz Parametre Bulunduran Bir Sturm-Liouville Operatörü İçin Ters Nodal Problem

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https://doi.org/10.17714/gumusfenbil.672966

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Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument

Abstract

Keywords

Geciken Argümanlı Bir Sturm-Liouville Probleminin İzinin ve Özfonksiyonlarının Düğüm Noktalarının Hesaplanması

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Sınır Koşulunda Öz Parametre Bulunduran Bir Sturm-Liouville Operatörü İçin Ters Nodal Problem