Şen, Erdoğan2022-05-112022-05-1120180170-42141099-1476https://doi.org/10.1002/mma.5178https://hdl.handle.net/20.500.11776/7425The purpose of this study is to investigate a Schrodinger type of boundary-value-transmission problem with retarded argument. By modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972] and suggesting own approaches, we find asymptotic formulas for the eigenvalues and eigenfunctions of the second-order differential equation with retarded argument, which includes the eigenparameter as a quadratic function.en10.1002/mma.5178info:eu-repo/semantics/closedAccessasymptotics of eigenvalues and eigenfunctionsdifferential equation with retarded argumenttransmission conditionsSturm-Liouville ProblemsCoefficientArticle411666046610Q2WOS:0004481820000362-s2.0-85055351042Q1