2008•Bulletin of the Australian Mathematical SocietyOpen access

STURM–LIOUVILLE PROBLEMS WITH DISCONTINUOUS POTENTIAL

Z. Akdoĝan, Z. ŞAŞMAZ

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Abstract

Abstract We consider a discontinuous Sturm–Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for the eigenvalues of such discontinuous problems.

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Abstract We consider a discontinuous Sturm–Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for the eigenvalues of such discontinuous problems.

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Available abstract

Abstract We consider a discontinuous Sturm–Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for the eigenvalues of such discontinuous problems.

Key concepts: Mathematics, Eigenvalues and eigenvectors, Discontinuity (linguistics), Sturm–Liouville theory, Point (geometry), Mathematical analysis, Applied mathematics, Geometry

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