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Yordanov, R. (1984) About Some Spectral Properties of the Schrodinger Equation with an Energy Dependent Potential Generating Fully Integrable Hamiltonian Systems. Annals de L’Universite de Sofia “Kliment Ohridski” Faculte de Mathematiques et Mecanique, 78, 1-29.

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.