Sturm-Liouville operator with parameter-dependent boundary conditions on time scales
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...
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/212/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |