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

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Document pages: 7 pages

Abstract: 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.

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