A trace formula for the Sturm-Liouville type equation with retarded argument

In this paper, we deal with a discontinuous Sturm-Liouville problem with retarded argument and eigenparameter-dependent boundary conditions. We obtain the asymptotic formulas for the eigenvalues and the regularized trace formula for the problem

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  • Current address, F. Hıra: Department of Mathematics, Arts and Science Faculty, Hitit Uni- versity, Çorum, 19030, Turkey
  • E-mail address, F. Hıra: fatmahira@yahoo.com.tr, fatmahira@hitit.edu.tr