Boundary‐value problem for a class of second‐order parameter‐dependent dynamic equations on a time scale

Abstract

In this study, we consider a boundary value problem generated by a second‐order dynamic equation on a time scale and boundary conditions depending on the spectral parameter. We give some properties of the solutions and obtain a formulation of the number of eigenvalues of the problem.

Spectral problems for Sturm-Liouville operator with eigenparameter boundary conditions on time scales

“…These kinds of problems appear in physics, mechanics and engineering. For Sturm-Liouville problem with eigenparameter-dependent-boundary conditions on arbitrary time scale we refer to the study [3,30,34] and the references therein.…”