Eigenvalues of second-order linear equations with coupled boundary conditions on time scales
In this paper we consider coupled boundary value problems for second-order linear equations on time scales. By properties of eigenvalues of the Dirichlet boundary value problem and some oscillation results, existence of eigenvalues of this boundary value problem is proved, numbers of their eigenvalu...
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| Veröffentlicht in: | Journal of applied mathematics & computing 2010-06, Vol.33 (1-2), p.1-21 |
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| container_title | Journal of applied mathematics & computing |
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| creator | Zhang, Chao Yang, Dianwu |
| description | In this paper we consider coupled boundary value problems for second-order linear equations on time scales. By properties of eigenvalues of the Dirichlet boundary value problem and some oscillation results, existence of eigenvalues of this boundary value problem is proved, numbers of their eigenvalues are calculated, and their relationships are obtained. These results not only extend the existing ones of coupled boundary value problems for second-order difference equations but also contain more complicated time scales. |
| doi_str_mv | 10.1007/s12190-009-0270-5 |
| format | Article |
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| issn | 1598-5865 1865-2085 |
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| subjects | Boundary conditions Boundary value problems Computational Mathematics and Numerical Analysis Eigenvalues Linear equations Mathematical analysis Mathematical and Computational Engineering Mathematics Mathematics and Statistics Mathematics of Computing Studies Theory of Computation Time |
| title | Eigenvalues of second-order linear equations with coupled boundary conditions on time scales |
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