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has been cited by the following article:

• TITLE: Asymptotic Formulas of the Solutions and the Trace Formulas for the Polynomial Pencil of the Sturm-Liouville Operators

  AUTHORS: A. Adiloglu Nabiev

  KEYWORDS: Sturm-Liouville Equation, Asymptotic Formulas for Solutions, Spectral Parameter, Eigenvalue, Boundary Value Problem, Trace Formula, Fractional Integrals and Derivatives

  JOURNAL NAME: Applied Mathematics, Vol.7 No.18, December 28, 2016

  ABSTRACT: This work studies the asymptotic formulas for the solutions of the Sturm-Liouville equation with the polynomial dependence in the spectral parameter. Using these asymptotic formulas it is proved some trace formulas for the eigenvalues of a simple boundary problem generated in a finite interval by the considered Sturm-Liouville equation.