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Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem

Cilt: 15 Sayı: 1 1 Mart 2025
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Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem

Öz

Inverse nodal problems has been studied for Sturm-Liouville equations with point δ coaction. First, the eigenvalues of the problem are obtained. Then, the solution of the inverse problem is given by obtaining potential function and the parameters in the boundary conditions with the help of a dense set of nodal points. Lastly, the uniqueness theorem is proven and a constructive procedure for solutions is provided.

Anahtar Kelimeler

Kaynakça

  1. Amirov, RKh., Arslantaş, M. & Durak, S. (2024). Inverse nodal problem for singular Sturm-Liouville operator on a star graph. Journal of Inverse and Ill-Posed Problems, 32 (1), 1-8.
  2. Amirov, RKh. & Durak, S. (2024). Inverse nodal problems for singular diffusion equation. Mathematical Methods in the Applied Sciences, 47 (11), 9067-9083.
  3. Browne, PJ. & Sleeman, BD. (1996). Inverse nodal problems for Sturm−Liouville equations with eigenparameter dependent boundary conditions. InverseProblems, 12 (4), 377-381.
  4. Buterin, SA. & Shieh, CT. (2009). Inverse nodal problem for differential pencils. Applied Mathematics Letters, 22 (8), 1240-1247.
  5. Buterin, SA. & Shieh, CT. (2012). Incomplete inverse spectral and nodal problems for differential pencils. Results in Mathematics, 62, 167-179.
  6. Chen, X., Cheng, YH. & Law, CK. (2011). Reconstructing potentials from zeros of one eigenfunction. Transactions of the American Mathematical Society, 363 (9), 4831-4851.
  7. Çakmak, Y. & Keskin, B. (2023). Inverse nodal problem for the quadratic pencil of the Sturm−Liouville equations with parameter-dependent nonlocal boundary condition. Turkish Journal of Mathematics, 47 (1), 397-404.
  8. Durak, S. (2022). Inverse nodal problem for Sturm-Liouville operator on a star graph with nonequal edges. Turkish Journal of Mathematics, 46 (6), 2178-2192.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Adi Diferansiyel Denklemler, Fark Denklemleri ve Dinamik Sistemler

Bölüm

Araştırma Makalesi

Erken Görünüm Tarihi

20 Şubat 2025

Yayımlanma Tarihi

1 Mart 2025

Gönderilme Tarihi

1 Ağustos 2024

Kabul Tarihi

26 Kasım 2024

Yayımlandığı Sayı

Yıl 2025 Cilt: 15 Sayı: 1

Kaynak Göster

APA
Arslantaş, M. (2025). Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem. Journal of the Institute of Science and Technology, 15(1), 308-315. https://doi.org/10.21597/jist.1525499
AMA
1.Arslantaş M. Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem. Iğdır Üniv. Fen Bil Enst. Der. 2025;15(1):308-315. doi:10.21597/jist.1525499
Chicago
Arslantaş, Merve. 2025. “Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem”. Journal of the Institute of Science and Technology 15 (1): 308-15. https://doi.org/10.21597/jist.1525499.
EndNote
Arslantaş M (01 Mart 2025) Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem. Journal of the Institute of Science and Technology 15 1 308–315.
IEEE
[1]M. Arslantaş, “Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem”, Iğdır Üniv. Fen Bil Enst. Der., c. 15, sy 1, ss. 308–315, Mar. 2025, doi: 10.21597/jist.1525499.
ISNAD
Arslantaş, Merve. “Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem”. Journal of the Institute of Science and Technology 15/1 (01 Mart 2025): 308-315. https://doi.org/10.21597/jist.1525499.
JAMA
1.Arslantaş M. Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem. Iğdır Üniv. Fen Bil Enst. Der. 2025;15:308–315.
MLA
Arslantaş, Merve. “Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem”. Journal of the Institute of Science and Technology, c. 15, sy 1, Mart 2025, ss. 308-15, doi:10.21597/jist.1525499.
Vancouver
1.Merve Arslantaş. Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem. Iğdır Üniv. Fen Bil Enst. Der. 01 Mart 2025;15(1):308-15. doi:10.21597/jist.1525499