Araştırma Makalesi

CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS

Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 29 Aralık 2024
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EN

CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS

Öz

This study used conformable derivatives to define the eigenvalue problems with two parameters and examined various associated spectral properties. Firstly, the conformable eigenvalue problems with two parameters were reduced to the simpler one parameter problems. Additionally, we focused on the orthogonality properties of eigenfunctions. Secondly, investigating the reality of eigenvalues is important to understand the physical relevance and practical usability of the considered eigenvalue problem. Finally, we examined integral relations, which explain important connections and relationships between different aspects of the problem.

Anahtar Kelimeler

Kaynakça

  1. T. Abdeljawad, On conformable fractional calculus, Journal of computational and Applied Mathematic, Vol.279, pp. 57-66 (2015).
  2. B. P. Allahverdiev, E. Bairamov, E. Ugurlu, Eigenparameter dependent Sturm–Liouville problems in boundary conditions with transmission conditions, Journal of Mathematical Analysis and Applications, Vol.401, No.1, pp. 388-396 (2013).
  3. B. P. Allahverdiev, H. Tuna, Y. Yalcinkaya, Conformable fractional Sturm‐Liouville equation, Mathematical Methods in the Applied Sciences, Vol.42, No.10, pp. 3508-3526 (2019).
  4. M. Al-Refai, T. Abdeljawad, Fundamental results of conformable Sturm‐Liouville eigenvalue problems, Complexity, Vol.2017, No.1, pp. 3720471 (2017).
  5. F. M. Arscott, Integral equations for ellipsoidal wave functions, The Quarterly Journal Of Mathematics, Vol.8, No.1, pp. 223--235 (1957).
  6. F. M. Arscott, A New Treatment of the ellipsoidal wave equation, Proceedings Of The London Mathematical Society, Vol.3, No.1, pp. 21--50 (1959).
  7. F. M. Arscott, Two-parameter eigenvalue problems in differential equations, Proceedings Of The London Mathematical Society, Vol.3, No.3, pp. 459-470 (1964).
  8. F. V. Atkinson, A. B. Mingarelli, Multiparameter eigenvalue problems, New York: Academic Press, Vol.1, (1972).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Adi Diferansiyel Denklemler, Fark Denklemleri ve Dinamik Sistemler, Kısmi Diferansiyel Denklemler

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

29 Aralık 2024

Gönderilme Tarihi

10 Eylül 2024

Kabul Tarihi

30 Kasım 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"

Kaynak Göster

APA
Öner, A., Göktaş, S., & Barut, B. (2024). CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS. Journal of Universal Mathematics, 7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"), 10-22. https://doi.org/10.33773/jum.1546765
AMA
1.Öner A, Göktaş S, Barut B. CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):10-22. doi:10.33773/jum.1546765
Chicago
Öner, Aslı, Sertaç Göktaş, ve Büşra Barut. 2024. “CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS”. Journal of Universal Mathematics 7 (To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"): 10-22. https://doi.org/10.33773/jum.1546765.
EndNote
Öner A, Göktaş S, Barut B (01 Aralık 2024) CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS. Journal of Universal Mathematics 7 To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 10–22.
IEEE
[1]A. Öner, S. Göktaş, ve B. Barut, “CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS”, JUM, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", ss. 10–22, Ara. 2024, doi: 10.33773/jum.1546765.
ISNAD
Öner, Aslı - Göktaş, Sertaç - Barut, Büşra. “CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (01 Aralık 2024): 10-22. https://doi.org/10.33773/jum.1546765.
JAMA
1.Öner A, Göktaş S, Barut B. CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS. JUM. 2024;7:10–22.
MLA
Öner, Aslı, vd. “CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS”. Journal of Universal Mathematics, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", Aralık 2024, ss. 10-22, doi:10.33773/jum.1546765.
Vancouver
1.Aslı Öner, Sertaç Göktaş, Büşra Barut. CONFORMABLE EIGENVALUE PROBLEMS WITH TWO PARAMETERS. JUM. 01 Aralık 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):10-22. doi:10.33773/jum.1546765