A regularized trace formula and oscillation of eigenfunctions of a Sturm-Liouville operator with retarded argument at 2 points of discontinuity

Şen, Erdoğan2022-05-112022-05-1120170170-42141099-1476https://doi.org/10.1002/mma.4512https://hdl.handle.net/20.500.11776/7404In 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.en10.1002/mma.4512info:eu-repo/semantics/closedAccessdifferential equation with retarded argumentnodal pointsoscillationregularized tracetransmission conditionsAdjoint Differential OperatorBoundary-Value-ProblemsCoefficientA regularized trace formula and oscillation of eigenfunctions of a Sturm-Liouville operator with retarded argument at 2 points of discontinuityArticle401870517061Q2WOS:0004192189000552-s2.0-85026744382Q1