On The Solutions of The Singular Differential Equations

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.

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  • 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.