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ON SOME ASYMPTOTIC EIGENVALUES OF HILL' S EQUATION

Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 29 Aralık 2024
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ON SOME ASYMPTOTIC EIGENVALUES OF HILL' S EQUATION

Öz

In this paper, we deal with Hill' s equation with symmetric single well potential. We find the lower and upper boundaries of the difference between Dirichlet and Neumann eigenvalues of Hill' s equation. We also calculate the eigenvalues of Hill' s equation with two mixed problems, asymptotically.

Anahtar Kelimeler

Kaynakça

  1. E. Baskaya, Periodic and semi-periodic eigenvalues of Hill' s equation with symmetric double well potential, Turkic World Mathematical Society Journal of Applied and Engineering Mathematics, vol.10, N.2, pp.346-352 (2020).
  2. E. Baskaya, Asymptotics of Eigenvalues for Regular Sturm-Liouville Problems with Spectral Parameter-Dependent Boundary Conditions and Symmetric Single Well Potential, Turkish Journal of Mathematics and Computer Science, vol.13, N.1, pp.44-50 (2021).
  3. E. Baskaya, On the asymptotics of eigenvalues for a Sturm-Liouville problem with symmetric single well potential, Demonstratio Mathematica, vol.57, N. 1, pp. 20230129 (2024).
  4. A. Cabada, J. A. Cid and L. Lopez-Somoza, Green's functions and spectral theory for the Hill' equation, Applied Mathematics and Computation, vol.286, pp. 88-105 (2016).
  5. H. Coskun and E. Baskaya, Asymptotics of eigenvalues of regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition for integrable potential, Mathematica Scandinavica, vol.107, N.2, pp.209–223 (2010).
  6. H. Coskun and N. Bayram, Asymptotics of eigenvalues for regular Sturm–Liouville problems with eigenvalue parameter in the boundary condition, Journal of Mathematical Analysis and Applications, vol.306, N.2, pp.548-566 (2005).
  7. H. Coskun and A. Kabatas, Asymptotic approximations of eigenfunctions for regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition for integrable potential, Mathematica Scandinavica, vol.113, N.1, pp.143-160 (2013).
  8. H. Coskun and A. Kabatas, Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition, Turkish Journal of Mathematics and Computer Science, vol.4, pp.1–9 (2016).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Adi Diferansiyel Denklemler, Fark Denklemleri ve Dinamik Sistemler

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

29 Aralık 2024

Gönderilme Tarihi

29 Eylül 2024

Kabul Tarihi

2 Kasım 2024

Yayımlandığı Sayı

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

Kaynak Göster

APA
Başkaya, E. (2024). ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION. Journal of Universal Mathematics, 7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"), 23-30. https://doi.org/10.33773/jum.1557752
AMA
1.Başkaya E. ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):23-30. doi:10.33773/jum.1557752
Chicago
Başkaya, Elif. 2024. “ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION”. Journal of Universal Mathematics 7 (To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"): 23-30. https://doi.org/10.33773/jum.1557752.
EndNote
Başkaya E (01 Aralık 2024) ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION. Journal of Universal Mathematics 7 To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 23–30.
IEEE
[1]E. Başkaya, “ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION”, JUM, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", ss. 23–30, Ara. 2024, doi: 10.33773/jum.1557752.
ISNAD
Başkaya, Elif. “ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (01 Aralık 2024): 23-30. https://doi.org/10.33773/jum.1557752.
JAMA
1.Başkaya E. ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION. JUM. 2024;7:23–30.
MLA
Başkaya, Elif. “ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION”. Journal of Universal Mathematics, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", Aralık 2024, ss. 23-30, doi:10.33773/jum.1557752.
Vancouver
1.Elif Başkaya. ON SOME ASYMPTOTIC EIGENVALUES OF HILL’ S EQUATION. JUM. 01 Aralık 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):23-30. doi:10.33773/jum.1557752