BibTex RIS Cite

Year 2012, Volume: 1 Issue: 1, 81 - 89, 01.01.2012

F. S. Muhtarov Kadriye Aydemir Kadriye Aydemir

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.

Distributions of eigenvalues for Sturm-Liouville problem under jump conditions

Year 2012, Volume: 1 Issue: 1, 81 - 89, 01.01.2012

F. S. Muhtarov Kadriye Aydemir Kadriye Aydemir

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

Keywords

Sturm-Liouville problems transmission conditions eigenvalue eigenfunction

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

F. S. Muhtarov This is me

Kadriye Aydemir This is me

Kadriye Aydemir This is me

Publication Date January 1, 2012
Published in Issue Year 2012 Volume: 1 Issue: 1

Cite

APA Muhtarov, F. S., Aydemir, K., & Aydemir, K. (2012). Distributions of eigenvalues for Sturm-Liouville problem under jump conditions. Journal of New Results in Science, 1(1), 81-89.
AMA Muhtarov FS, Aydemir K, Aydemir K. Distributions of eigenvalues for Sturm-Liouville problem under jump conditions. JNRS. January 2012;1(1):81-89.
Chicago Muhtarov, F. S., Kadriye Aydemir, and Kadriye Aydemir. “Distributions of Eigenvalues for Sturm-Liouville Problem under Jump Conditions”. Journal of New Results in Science 1, no. 1 (January 2012): 81-89.
EndNote Muhtarov FS, Aydemir K, Aydemir K (January 1, 2012) Distributions of eigenvalues for Sturm-Liouville problem under jump conditions. Journal of New Results in Science 1 1 81–89.
IEEE F. S. Muhtarov, K. Aydemir, and K. Aydemir, “Distributions of eigenvalues for Sturm-Liouville problem under jump conditions”, JNRS, vol. 1, no. 1, pp. 81–89, 2012.
ISNAD Muhtarov, F. S. et al. “Distributions of Eigenvalues for Sturm-Liouville Problem under Jump Conditions”. Journal of New Results in Science 1/1 (January 2012), 81-89.
JAMA Muhtarov FS, Aydemir K, Aydemir K. Distributions of eigenvalues for Sturm-Liouville problem under jump conditions. JNRS. 2012;1:81–89.
MLA Muhtarov, F. S. et al. “Distributions of Eigenvalues for Sturm-Liouville Problem under Jump Conditions”. Journal of New Results in Science, vol. 1, no. 1, 2012, pp. 81-89.
Vancouver Muhtarov FS, Aydemir K, Aydemir K. Distributions of eigenvalues for Sturm-Liouville problem under jump conditions. JNRS. 2012;1(1):81-9.


EBSCO 30456

Electronic Journals Library EZB   30356

 DOAJ   30355                                             

WorldCat  30357                                             303573035530355

Academindex   30358

SOBİAD   30359

Scilit   30360


29388 As of 2021, JNRS is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).