Electron. J. Differential Equations, Vol. 2017 (2017), No. 212, pp. 1-10.

Sturm-Liouville operator with parameter-dependent boundary conditions on time scales

A. Sinan Ozkan

In 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.

Submitted May 18, 2017. Published September 11, 2017.
Math Subject Classifications: 34B05, 34L05, 39A05.
Key Words: Time scale; Sturm-Liouville operator; parameter-dependent boundary conditions.

Show me the PDF file (208 KB), TEX file for this article.

A. Sinan Ozkan
Department of Mathematics Faculty of Art and Sci.
Cumhuriyet University 58140
Sivas, Turkey
email: sozkan@cumhuriyet.edu.tr

Return to the EJDE web page