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Periodic Indefinite Sturm-Liouville Problems With One Turning Point
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Multiplicity of eigenvalues of the regular indefinite Sturm- Liouville problem ?y"" + qy = ?wy on [a, b] subject to periodic boundary conditions is discussed. A necessary and sufficient condition for the existence of non-simple real eigenvalues is proved. Eigenfunctions corresponding to non-simple real eigenvalues are obtained. In this article, we discuss the interlacing property in one turning point case with periodic boundary conditions.
Keywords
Periodic boundary conditions, Indefinite Sturm Liouville problems, Turning point.
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