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

Yıl: 2018 Cilt: 39 Sayı: 3 Sayfa Aralığı: 597 - 607 Metin Dili: İngilizce DOI: 10.17776/csj.416602 İndeks Tarihi: 18-07-2019

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

Öz:
In this study, a formula for regularized sums of eigenvalues and nodalpoints of eigenfunctions for a discontinuous Sturm-Liouville problem with aconstant retarded argument. Contrary to standart problems the spectralparameter appears not only in the differential equation, but also in one of theboundary conditions. Thus, we see whether the nodal points of eigenfunctionsand the trace change or not.
Anahtar Kelime:

Konular: Matematik

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

Öz:
Biz bu çalışmada sabit geciken argümanlı süreksiz bir Sturm-Liouville probleminin özdeğerleri için bir iz formülü ve özfonksiyonları için düğüm noktaları elde ettik. Standart problemlerin aksine spektral parametre sadece diferansiyel denklemde değil ayrıca sınır koşullarının birinde de yer alır. Böylece bu durumun özfonksiyonların düğüm noktalarını ve izini değiştirip değiştirmediğini görmüş oluyoruz.
Anahtar Kelime:

Konular: Matematik
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Şen E (2018). Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. , 597 - 607. 10.17776/csj.416602
Chicago Şen Erdoğan Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. (2018): 597 - 607. 10.17776/csj.416602
MLA Şen Erdoğan Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. , 2018, ss.597 - 607. 10.17776/csj.416602
AMA Şen E Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. . 2018; 597 - 607. 10.17776/csj.416602
Vancouver Şen E Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. . 2018; 597 - 607. 10.17776/csj.416602
IEEE Şen E "Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument." , ss.597 - 607, 2018. 10.17776/csj.416602
ISNAD Şen, Erdoğan. "Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument". (2018), 597-607. https://doi.org/10.17776/csj.416602
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. 10.17776/csj.416602
Chicago Şen Erdoğan Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. Cumhuriyet Science Journal 39, no.3 (2018): 597 - 607. 10.17776/csj.416602
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, 2018, ss.597 - 607. 10.17776/csj.416602
AMA Şen E Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. Cumhuriyet Science Journal. 2018; 39(3): 597 - 607. 10.17776/csj.416602
Vancouver Şen E Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. Cumhuriyet Science Journal. 2018; 39(3): 597 - 607. 10.17776/csj.416602
IEEE Şen E "Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument." Cumhuriyet Science Journal, 39, ss.597 - 607, 2018. 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 (2018), 597-607. https://doi.org/10.17776/csj.416602