On The Solutions of The Singular Differential Equations

Key Findings & Data:New asymptotic formulas have been obtained for eigenvalues of Newmann and Drichlet problems for the Sturm-Liouville equation using these asymptotic expressions.

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Conclusion & Impact:Some features of scattering function have also been learned.

🔬Design:Conference Paper

📍Scope:Comprehensive Sample

⚙️Variables:Sturm-Liouville · asymptotic expressions

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

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Cite This Article

Durak, S., Amirov, R. (2018). On The Solutions of The Singular Differential Equations. Turkish Journal of Mathematics and Computer Science, Volume: 10 Special Issue. https://ajindex.com/articles/1324927

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References (3)

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.
V. Marchenko, Sturm-Liouville Operators and Their Applications, Naukova Dumka, Kiew,1977, English transl.Birkhauser, (1986).