Conference Paper
BibTex RIS Cite

On The Solutions of The Singular Differential Equations

Year 2018, Volume: 10, 249 - 255, 29.12.2018

Sevim Durak , Rauf Amirov

Abstract

In this study, new asymptotic expressions for solving the singular coefficent Sturm-Liouville equation were obtained. New asymptotic formulas have been obtained for eigenvalues of Newmann and Drichlet problems for the Sturm-Liouville equation using these asymptotic expressions. Some features of scattering function have also been learned.

Keywords

Sturm-Liouville asymptotic expressions

References

  • V.. Marchenko, Sturm-Liouville Operators and Their Applications, Naukova Dumka, Kiew,1977, English transl.Birkhauser, (1986).
  • R.Kh.Amirov, The inverse spectral problem for the di¤erential equation of the second order with singularity Proc.of IMM of Azerbaijan Academy of Sciences, 1999, vol.X,pp.9-19.

Year 2018, Volume: 10, 249 - 255, 29.12.2018

Sevim Durak , Rauf Amirov

Abstract

References

  • V.. Marchenko, Sturm-Liouville Operators and Their Applications, Naukova Dumka, Kiew,1977, English transl.Birkhauser, (1986).
  • R.Kh.Amirov, The inverse spectral problem for the di¤erential equation of the second order with singularity Proc.of IMM of Azerbaijan Academy of Sciences, 1999, vol.X,pp.9-19.
There are 2 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Sevim Durak

Rauf Amirov

Publication Date December 29, 2018
Published in Issue Year 2018 Volume: 10

Cite

APA Durak, S., & Amirov, R. (2018). On The Solutions of The Singular Differential Equations. Turkish Journal of Mathematics and Computer Science, 10, 249-255.
AMA Durak S, Amirov R. On The Solutions of The Singular Differential Equations. TJMCS. December 2018;10:249-255.
Chicago Durak, Sevim, and Rauf Amirov. “On The Solutions of The Singular Differential Equations”. Turkish Journal of Mathematics and Computer Science 10, December (December 2018): 249-55.
EndNote Durak S, Amirov R (December 1, 2018) On The Solutions of The Singular Differential Equations. Turkish Journal of Mathematics and Computer Science 10 249–255.
IEEE S. Durak and R. Amirov, “On The Solutions of The Singular Differential Equations”, TJMCS, vol. 10, pp. 249–255, 2018.
ISNAD Durak, Sevim - Amirov, Rauf. “On The Solutions of The Singular Differential Equations”. Turkish Journal of Mathematics and Computer Science 10 (December 2018), 249-255.
JAMA Durak S, Amirov R. On The Solutions of The Singular Differential Equations. TJMCS. 2018;10:249–255.
MLA Durak, Sevim and Rauf Amirov. “On The Solutions of The Singular Differential Equations”. Turkish Journal of Mathematics and Computer Science, vol. 10, 2018, pp. 249-55.
Vancouver Durak S, Amirov R. On The Solutions of The Singular Differential Equations. TJMCS. 2018;10:249-55.
 Download Cover Image