Half-linear eigenvalue problem: Limit behavior of the first eigenvalue for shrinking interval
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Boundary Value Problems |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.boundaryvalueproblems.com/content/pdf/1687-2770-2013-221.pdf |
| Doi | http://dx.doi.org/10.1186/1687-2770-2013-221 |
| Field | General mathematics |
| Keywords | Half-linear eigenvalue problem; first eigenvalue; Prufer transformation |
| Attached files | |
| Description | We investigate the limit behavior of the first eigenvalue of the half-linear eigenvalue problem when the length of the interval tends to zero. We show that the important role is played by the limit behavior of ratios of primitive functions of coefficients in the investigated half-linear equation. |
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