Journals / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 10 - Sayı: 10

On The Solutions of The Singular Differential Equations

Pages
249–255
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some features of scattering function have alsobeen studied.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, new asymptotic expressions for solving the singular coefficient Sturm-Liouville equationwere obtained.
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Key Findings & Data:New asymptotic formulas have been obtained for eigenvalues of Newmann and Drichlet problemsfor the Sturm-Liouville equation using these asymptotic expressions.
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Conclusion & Impact:Some features of scattering function have alsobeen studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, new asymptotic expressions for solving the singular coefficient Sturm-Liouville equationwere obtained. New asymptotic formulas have been obtained for eigenvalues of Newmann and Drichlet problemsfor the Sturm-Liouville equation using these asymptotic expressions. Some features of scattering function have alsobeen studied.

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Cite This Article

Amirov, R. K., Durak, S. (2022). On The Solutions of The Singular Differential Equations. Turkish Journal of Mathematics and Computer Science, Cilt: 10 - Sayı: 10, 249–255. https://ajindex.com/articles/609178

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References (2)

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