Cabri, OlgunToprakseven, Şuayip2024-11-262024-11-2620242705-1064http://dx.doi.org/10.37256/cm.5420245208https://hdl.handle.net/11494/5015In this study, we consider q-Sturm Liouville operator with periodic boundary conditions. An asymptotic expression of the solution is obtained. With the help of this asymptotic representation, an asymptotic solution of the characteristic equation is presented. An application of the Rouche theorem, asymptotic expressions of eigenvalues are obtained.eninfo:eu-repo/semantics/openAccessEigenfunctionsEigenvaluesPeriodic Boundary ConditionsQ-Sturm LiouvilleArticle544309432210.37256/cm.5420245208Q4Q3