On the solution of a Sturm-Liouville problem by using Laplace transform on time scales

Emrah YILMAZ; Sertaç GÖKTAŞ

doi:https://doi.org/10.17776/csj.831443

Makale detayları

On the solution of a Sturm-Liouville problem by using Laplace transform on time scales

Yazarlar:

Emrah YILMAZ | Sertaç GÖKTAŞ

Ana Başlıklar:

Matematik

Dergi:

Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.132-140

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000920308

DOI:

https://doi.org/10.17776/csj.831443

Özet:

 

In this study, we solve a Sturm-Liouville problem on time scales with constant graininess by using Laplace transform which is one of the finest representatives of integral transformation used in applied mathematics. Eigenfunctions on the time scale were obtained in different cases with the Laplace transform. Thus, it was seen that the Laplace transform is an effective method on time scales. The results that will contribute to the spectral theory were obtained on the time scale with the examples discussed. It is very interesting that the results obtained differ as the time scale changes and this transformation can be applied to other types of problems. The problems that were established and solved enabled the subject to be understood on the time scale.

Makale detayları

On the solution of a Sturm-Liouville problem by using Laplace transform on time scales

Yazarlar: Emrah YILMAZ | Sertaç GÖKTAŞ

Ana Başlıklar: Matematik

Dergi: Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.132-140

Belge Tipi: Makale

Yayın Tarihi: 3/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000920308

DOI: https://doi.org/10.17776/csj.831443

Sayı

Yazarlar:

Emrah YILMAZ | Sertaç GÖKTAŞ

Ana Başlıklar:

Matematik

Dergi:

Cumhuriyet Science Journal 2021 Vol.42 Issue 1, pp.132-140

Belge Tipi:

Makale

Yayın Tarihi:

3/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000920308

DOI:

https://doi.org/10.17776/csj.831443