Sturm-Liouville operator with parameter-dependent boundary conditions on time scales
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Date
2017-09-11
Authors
Ozkan, A. Sinan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Time scale, Sturm-Liouville operator, Parameter-dependent boundary conditions
Citation
Ozkan, A. S. (2017). Sturm-Liouville operator with parameter-dependent boundary conditions on time scales. Electronic Journal of Differential Equations, 2017(212), pp. 1-10.
Rights
Attribution 4.0 International