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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 Conference Paper
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. https://izlik.org/JA67JS66ME
AMA 1.Durak S, Amirov R. On The Solutions of The Singular Differential Equations. TJMCS. 2018;10:249-255. https://izlik.org/JA67JS66ME
Chicago Durak, Sevim, and Rauf Amirov. 2018. “On The Solutions of The Singular Differential Equations”. Turkish Journal of Mathematics and Computer Science 10 (December): 249-55. https://izlik.org/JA67JS66ME.
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 [1]S. Durak and R. Amirov, “On The Solutions of The Singular Differential Equations”, TJMCS, vol. 10, pp. 249–255, Dec. 2018, [Online]. Available: https://izlik.org/JA67JS66ME
ISNAD Durak, Sevim - Amirov, Rauf. “On The Solutions of The Singular Differential Equations”. Turkish Journal of Mathematics and Computer Science 10 (December 1, 2018): 249-255. https://izlik.org/JA67JS66ME.
JAMA 1.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, Dec. 2018, pp. 249-55, https://izlik.org/JA67JS66ME.
Vancouver 1.Durak S, Amirov R. On The Solutions of The Singular Differential Equations. TJMCS [Internet]. 2018 Dec. 1;10:249-55. Available from: https://izlik.org/JA67JS66ME