Research Article

On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition

Volume: 42 Number: 2 April 30, 2024
EN

On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition

Abstract

The asymptotic expansion of the eigenvalue of Sturm-Liouville problem is presented. The problem has a symmetric double well potential that is continuous, symmetrical to both the midpoint and quarter point of the related interval and non-increasing on the quarter interval.

Keywords

References

  1. REFERENCES
  2. [1] Ak T, Karakoc SBG, Biswas A. Numerical scheme to dispersive shallow water waves, J Comput Theor Nanosci 2016;13:7084–7092. [CrossRef]
  3. [2] Ali KK, Karakoc SBG, Rezazadeh H. (2020) Optical soliton solutions of the fractional perturbed nonlinear Schrodinger equation. TWMS J Appl Eng Math 2020;10:930939. [CrossRef]
  4. [3] Başkaya E. Asymptotics of eigenvalues for Sturm-Liouville problem with eigenparameter-dependent boundary conditions. New Trends Math Sci 2018;6:247257. [CrossRef]
  5. [4] Başkaya E. Asymptotics of eigenvalues for Sturm-Liouville problem including eigenparameter-dependent boundary conditions with integrable potential. New Trends Math Sci 2018;6:3947. [CrossRef]
  6. [5] Başkaya E. Asymptotics of eigenvalues for Sturm-Liouville problem including quadratic eigenvalue in the boundary condition. New Trends Math Sci 2018;6:7682. [CrossRef]
  7. [6] Başkaya E. Periodic and semi-periodic eigenvalues of Hill’ s equation with symmetric double well potential, TWMS J Appl Eng Math 2020;10:346352.
  8. [7] Başkaya E. Asymptotics of eigenvalues for regular Sturm-Liouville problems with spectral parameter-dependent boundary conditions and symmetric single well potential. Turk J Math Comput Sci 2021;13:4450. [CrossRef]

Details

Primary Language

English

Subjects

Clinical Chemistry

Journal Section

Research Article

Publication Date

April 30, 2024

Submission Date

March 10, 2022

Acceptance Date

July 24, 2022

Published in Issue

Year 2024 Volume: 42 Number: 2

APA
Başkaya, E. (2024). On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition. Sigma Journal of Engineering and Natural Sciences, 42(2), 572-577. https://izlik.org/JA99MP62WH
AMA
1.Başkaya E. On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition. SIGMA. 2024;42(2):572-577. https://izlik.org/JA99MP62WH
Chicago
Başkaya, Elif. 2024. “On a Boundary Value Problem With Symmetric Double Well Potential and Spectral Parameter in the Boundary Condition”. Sigma Journal of Engineering and Natural Sciences 42 (2): 572-77. https://izlik.org/JA99MP62WH.
EndNote
Başkaya E (April 1, 2024) On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition. Sigma Journal of Engineering and Natural Sciences 42 2 572–577.
IEEE
[1]E. Başkaya, “On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition”, SIGMA, vol. 42, no. 2, pp. 572–577, Apr. 2024, [Online]. Available: https://izlik.org/JA99MP62WH
ISNAD
Başkaya, Elif. “On a Boundary Value Problem With Symmetric Double Well Potential and Spectral Parameter in the Boundary Condition”. Sigma Journal of Engineering and Natural Sciences 42/2 (April 1, 2024): 572-577. https://izlik.org/JA99MP62WH.
JAMA
1.Başkaya E. On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition. SIGMA. 2024;42:572–577.
MLA
Başkaya, Elif. “On a Boundary Value Problem With Symmetric Double Well Potential and Spectral Parameter in the Boundary Condition”. Sigma Journal of Engineering and Natural Sciences, vol. 42, no. 2, Apr. 2024, pp. 572-7, https://izlik.org/JA99MP62WH.
Vancouver
1.Elif Başkaya. On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition. SIGMA [Internet]. 2024 Apr. 1;42(2):572-7. Available from: https://izlik.org/JA99MP62WH

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/