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.
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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.
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.
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.