Şen, Erdoğan2022-05-112022-05-1120140170-42141099-1476https://doi.org/10.1002/mma.3033https://hdl.handle.net/20.500.11776/7372In this study, we investigate a Sturm-Liouville type problem with eigenparameter-dependent boundary conditions and eigenparameter-dependent transmission conditions. By establishing a new self-adjoint operator A associated with the problem, we construct fundamental solutions and obtain asymptotic formulae for its eigenvalues and fundamental solutions. Also we investigate some properties of its spectrum. Copyright (c) 2013 John Wiley & Sons, Ltd.en10.1002/mma.3033info:eu-repo/semantics/closedAccessasymptotics of eigenvalues and eigenfunctionsdifferential operatorspectrumtransmission conditionsSturm-Liouville ProblemsEigenvalue ParameterSpectral ParameterAsymptoticsA class of second-order differential operators with eigenparameter-dependent boundary and transmission conditionsArticle371829522961Q2WOS:0003453154000112-s2.0-84911808220Q1