Year 2012,
Volume: 1 Issue: 1, 81 - 89, 01.01.2012
Abstract
References
- Z. Akdo˘gan, M. Demirci and O. Sh. Mukhtarov, Green function of discontinuous boundary value problem with Transmissions conditions, Math. Meth. Appl. Sci. 30(2007)1719-1738.
- B. Chanane, Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval, Appl. Math. Comput. 188(2007), 1725-1732.
- C. T. Fulton, Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proc. Roy. Soc. Edin. 77A(1977), 293-308.
- M. Kadakal and O. Sh. Mukhtarov, Discontinuous Sturm-Liouville Problems Containing Eigenparameter in the Boundary Conditions. Acta Mathematica Sinica, English Series Sep., 22(5)(2006), pp. 1519-1528.
- M. Kandemir, O. Sh. Mukhtarov and Y.Y. Yakubov , Irregular boundary value problems with discontinuous coefficients and the eigenvalue parameter, Mediterr, J. Math. 6(2009), 317-338.
- O. Sh. Mukhtarov, M. Kadakal and F. S. Muhtarov On discontinuous Sturm-Liouville Problems with transmission conditions. J. Math. Kyoto Univ., Vol. 44, No. 4( 2004), 779-798.
- J. D. Pryce, Numeric Solution of SturmLiouville Problems Clarendon, Oxford, 1993.
- E. C. Titchmarsh Eigenfunctions Expansion Associated with Second Order Differential Equations I, second edn. Oxford Univ. Press, London, (1962).
- A Wang, J. Sun and A. Zettl, Two-interval SturmLiouville operators in modified Hilbert spaces, J. Math. Anal. Appl., 328(2007), 390-399.
- A. Zettl, Adjoint and self-adjoint boundary value problems with interface conditions SIAM J. Appl. Math. 16 (1968) 851-859.
Year 2012,
Volume: 1 Issue: 1, 81 - 89, 01.01.2012
Abstract
This paper deals with the asymptotic estimates of eigenvalues for SturmLiouville problems with two supplementary transmission conditions at one interior point. By modifying some known techniques the existence and uniqueness results of solutions are obtained for the considered problem
References
- Z. Akdo˘gan, M. Demirci and O. Sh. Mukhtarov, Green function of discontinuous boundary value problem with Transmissions conditions, Math. Meth. Appl. Sci. 30(2007)1719-1738.
- B. Chanane, Eigenvalues of Sturm-Liouville problems with discontinuity conditions inside a finite interval, Appl. Math. Comput. 188(2007), 1725-1732.
- C. T. Fulton, Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions, Proc. Roy. Soc. Edin. 77A(1977), 293-308.
- M. Kadakal and O. Sh. Mukhtarov, Discontinuous Sturm-Liouville Problems Containing Eigenparameter in the Boundary Conditions. Acta Mathematica Sinica, English Series Sep., 22(5)(2006), pp. 1519-1528.
- M. Kandemir, O. Sh. Mukhtarov and Y.Y. Yakubov , Irregular boundary value problems with discontinuous coefficients and the eigenvalue parameter, Mediterr, J. Math. 6(2009), 317-338.
- O. Sh. Mukhtarov, M. Kadakal and F. S. Muhtarov On discontinuous Sturm-Liouville Problems with transmission conditions. J. Math. Kyoto Univ., Vol. 44, No. 4( 2004), 779-798.
- J. D. Pryce, Numeric Solution of SturmLiouville Problems Clarendon, Oxford, 1993.
- E. C. Titchmarsh Eigenfunctions Expansion Associated with Second Order Differential Equations I, second edn. Oxford Univ. Press, London, (1962).
- A Wang, J. Sun and A. Zettl, Two-interval SturmLiouville operators in modified Hilbert spaces, J. Math. Anal. Appl., 328(2007), 390-399.
- A. Zettl, Adjoint and self-adjoint boundary value problems with interface conditions SIAM J. Appl. Math. 16 (1968) 851-859.
There are 10 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | January 1, 2012 |
| Published in Issue | Year 2012 Volume: 1 Issue: 1 |