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