Ozkan, A. Sinan2022-06-132022-06-132017-09-11Ozkan, A. S. (2017). Sturm-Liouville operator with parameter-dependent boundary conditions on time scales. Electronic Journal of Differential Equations, 2017(212), pp. 1-10.1072-6691https://hdl.handle.net/10877/15906In this study, we consider a boundary-value problem generated by a Sturm-Liouville dynamic equation on a time scale with boundary conditions depending on a spectral parameter. We introduce the operator formulation of the problem and give some properties of eigenvalues and eigenfunctions. We also formulate the number of eigenvalues when the time scale is finite.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalTime scaleSturm-Liouville operatorParameter-dependent boundary conditionsArticle