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

Year 2016, Volume: 4 , 1 - 9, 13.07.2016

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.

References

  • 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.
  • 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.
  • Coşkun, H., Asymptotic approximations of eigenvalues and eigenfunctions for regular Sturm-Liouville problems, Rocky Mountain J. Math, 36(2006), 867–883.
  • 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.
  • 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.
  • 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.
  • Harris, B. J., The form of the spectral functions associated with Sturm-Liouville problems with continuous spectrum, Mathematika, 44(1997), 149–161.
Year 2016, Volume: 4 , 1 - 9, 13.07.2016

Abstract

References

  • 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.
  • 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.
  • Coşkun, H., Asymptotic approximations of eigenvalues and eigenfunctions for regular Sturm-Liouville problems, Rocky Mountain J. Math, 36(2006), 867–883.
  • 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.
  • 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.
  • 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.
  • Harris, B. J., The form of the spectral functions associated with Sturm-Liouville problems with continuous spectrum, Mathematika, 44(1997), 149–161.
There are 7 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Haskız Coşkun This is me

Ayşe Kabataş

Publication Date July 13, 2016
Published in Issue Year 2016 Volume: 4

Cite

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.
AMA Coşkun H, Kabataş A. Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition. TJMCS. July 2016;4:1-9.
Chicago 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 4, July (July 2016): 1-9.
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 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, 2016.
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 2016), 1-9.
JAMA 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, 2016, pp. 1-9.
Vancouver Coşkun H, Kabataş A. Green’s Function of Regular Sturm-Liouville Problem Having Eigenparameter in One Boundary Condition. TJMCS. 2016;4:1-9.