Asymptotic Formulas of the Solutions and the Trace Formulas for the Polynomial Pencil of the Sturm-Liouville OperatorsReportar como inadecuado




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This work studies the asymptotic formulasfor the solutions of the Sturm-Liouville equation with the polynomialdependence in the spectral parameter. Using these asymptotic formulas it isproved some trace formulas for the eigenvalues of a simple boundary problemgenerated in a finite interval by the considered Sturm-Liouville equation.

KEYWORDS

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

Cite this paper

Nabiev, A. 2016 Asymptotic Formulas of the Solutions and the Trace Formulas for the Polynomial Pencil of the Sturm-Liouville Operators. Applied Mathematics, 7, 2411-2417. doi: 10.4236-am.2016.718189.





Autor: A. Adiloglu Nabiev

Fuente: http://www.scirp.org/



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