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

Emrah Yılmaz; Sertaç Göktaş

doi:10.17776/csj.831443

EN

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

Abstract

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.

Keywords

Time scales, Sturm-Liouville problem, Laplace transform

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Emrah Yılmaz ^*
0000-0002-7822-9193
Türkiye

Sertaç Göktaş
0000-0001-7842-6309
Türkiye

Publication Date

March 29, 2021

Submission Date

November 25, 2020

Acceptance Date

March 4, 2021

Published in Issue

Year 2021 Volume: 42 Number: 1

DOI

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

IZ

https://izlik.org/JA97PE69FX

APA

Yılmaz, E., & Göktaş, S. (2021). On the solution of a Sturm-Liouville problem by using Laplace transform on time scales. Cumhuriyet Science Journal, 42(1), 132-140. https://doi.org/10.17776/csj.831443

AMA

1.Yılmaz E, Göktaş S. On the solution of a Sturm-Liouville problem by using Laplace transform on time scales. CSJ. 2021;42(1):132-140. doi:10.17776/csj.831443

Chicago

Yılmaz, Emrah, and Sertaç Göktaş. 2021. “On the Solution of a Sturm-Liouville Problem by Using Laplace Transform on Time Scales”. Cumhuriyet Science Journal 42 (1): 132-40. https://doi.org/10.17776/csj.831443.

EndNote

Yılmaz E, Göktaş S (March 1, 2021) On the solution of a Sturm-Liouville problem by using Laplace transform on time scales. Cumhuriyet Science Journal 42 1 132–140.

IEEE

[1]E. Yılmaz and S. Göktaş, “On the solution of a Sturm-Liouville problem by using Laplace transform on time scales”, CSJ, vol. 42, no. 1, pp. 132–140, Mar. 2021, doi: 10.17776/csj.831443.

ISNAD

Yılmaz, Emrah - Göktaş, Sertaç. “On the Solution of a Sturm-Liouville Problem by Using Laplace Transform on Time Scales”. Cumhuriyet Science Journal 42/1 (March 1, 2021): 132-140. https://doi.org/10.17776/csj.831443.

JAMA

1.Yılmaz E, Göktaş S. On the solution of a Sturm-Liouville problem by using Laplace transform on time scales. CSJ. 2021;42:132–140.

MLA

Yılmaz, Emrah, and Sertaç Göktaş. “On the Solution of a Sturm-Liouville Problem by Using Laplace Transform on Time Scales”. Cumhuriyet Science Journal, vol. 42, no. 1, Mar. 2021, pp. 132-40, doi:10.17776/csj.831443.

Vancouver

1.Emrah Yılmaz, Sertaç Göktaş. On the solution of a Sturm-Liouville problem by using Laplace transform on time scales. CSJ. 2021 Mar. 1;42(1):132-40. doi:10.17776/csj.831443

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

Abstract

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

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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