A regularized trace formula and oscillation of eigenfunctions of a Sturm‐Liouville operator with retarded argument at 2 points of discontinuity |
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Authors: | Erdoğan Şen |
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Affiliation: | Department of Mathematics, Nam?k Kemal University, 59030, Tekirdag, Turkey |
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Abstract: | In this study, first, a formula for regularized sums of eigenvalues of a Sturm‐Liouville problem with retarded argument at 2 points of discontinuity which contains a spectral parameter in the boundary conditions is obtained. After that, oscillation properties of the related problem is investigated. Finally, under the condition that a subset of nodal points is dense in definition set, the potential function is determined. |
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Keywords: | differential equation with retarded argument nodal points oscillation regularized trace transmission conditions |
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