BASIC BOUNDARY VALUE PROBLEM WITH RETARDED ARGUMENT CONTAINING AN EIGENPARAMETER IN THE TRANSMISSION CONDITION

Authors : Özgür Mizrak

Pages : 50-57

Doi:10.33773/jum.1368639

View : 81 | Download : 81

Publication Date : 2023-10-15

Article Type : Research Paper

Abstract :In this paper basic boundary value problem with retarded argument that has a discontinuity point inside the interval will be studied. At the discontinuity point transmission conditions contain eigenparameter. Existence of eigenvalues and eigenfunctions will be studied. Asmyptotic properties of eigenvalues and eigenfunctions will be obtained.
Keywords : retarded argument, transmission condition, eigenvalue, eigenfunction, boundary value problem