Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition

Volume: 4 July 13, 2016
EN

Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition

Abstract

In this paper we obtain Green’s function for regular Sturm-Liouville problem having the eigenparameter in the quadratic boundary condition without smoothness conditions on the potential.

Keywords

References

  1. Annaby, M. H., Tharwat, M. M., On sampling theory and eigenvalue problems with an eigenparameter in the boundary conditions, Science University of Tokyo Journal of Mathematics, 42(2006), 157–176.
  2. Coşkun, H., Harris, B. J., Estimates for the periodic and semi-periodic eigenvalues of Hill’s equation, Proc. Roy. Soc. Edinburgh Sect. A, 130(2000), 991–998.
  3. Coşkun, H., Asymptotic approximations of eigenvalues and eigenfunctions for regular Sturm-Liouville problems, Rocky Mountain J. Math, 36(2006), 867–883.
  4. Coşkun, H., Başkaya, E., Asymptotics of the eigenvalues of regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition for integrable potential, Math. Scand., 107(2010), 209–223.
  5. Coşkun, H., Kabataş, A., Asymptotic approximations of eigenfunctions for regular Sturm-Liouville problems with eigenvalue parameter in the boundary condition for integrable potential, Math. Scand., 113(2013), 143–160.
  6. Fulton, C. T., Two point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proc. Roy. Soc. Edin. A., 77(1977), 293–308.
  7. Harris, B. J., The form of the spectral functions associated with Sturm-Liouville problems with continuous spectrum, Mathematika, 44(1997), 149–161.

Details

Primary Language

English

Subjects

Engineering

Journal Section

-

Authors

Haskız Coşkun This is me

Publication Date

July 13, 2016

Submission Date

June 23, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4

APA
Coşkun, H., & Kabataş, A. (2016). Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition. Turkish Journal of Mathematics and Computer Science, 4, 1-9. https://izlik.org/JA56CL42PT
AMA
1.Coşkun H, Kabataş A. Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition. TJMCS. 2016;4:1-9. https://izlik.org/JA56CL42PT
Chicago
Coşkun, Haskız, and Ayşe Kabataş. 2016. “Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition”. Turkish Journal of Mathematics and Computer Science 4 (July): 1-9. https://izlik.org/JA56CL42PT.
EndNote
Coşkun H, Kabataş A (July 1, 2016) Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition. Turkish Journal of Mathematics and Computer Science 4 1–9.
IEEE
[1]H. Coşkun and A. Kabataş, “Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition”, TJMCS, vol. 4, pp. 1–9, July 2016, [Online]. Available: https://izlik.org/JA56CL42PT
ISNAD
Coşkun, Haskız - Kabataş, Ayşe. “Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition”. Turkish Journal of Mathematics and Computer Science 4 (July 1, 2016): 1-9. https://izlik.org/JA56CL42PT.
JAMA
1.Coşkun H, Kabataş A. Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition. TJMCS. 2016;4:1–9.
MLA
Coşkun, Haskız, and Ayşe Kabataş. “Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition”. Turkish Journal of Mathematics and Computer Science, vol. 4, July 2016, pp. 1-9, https://izlik.org/JA56CL42PT.
Vancouver
1.Haskız Coşkun, Ayşe Kabataş. Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition. TJMCS [Internet]. 2016 Jul. 1;4:1-9. Available from: https://izlik.org/JA56CL42PT