Half-linear dynamic equations with mixed derivatives
| dc.contributor.author | Dosly, Ondrej | |
| dc.contributor.author | Marek, Daniel | |
| dc.date.accessioned | 2021-06-01T14:41:12Z | |
| dc.date.available | 2021-06-01T14:41:12Z | |
| dc.date.issued | 2005-08-15 | |
| dc.description.abstract | We investigate oscillatory properties of the second order half-linear dynamic equation on a time scale with mixed derivatives (r(t)Φ(x∆))∇ + c(t)Φ(x) = 0, Φ(x) = |x|p-2x, p > 1. In particular, we establish the Roundabout theorem which relates oscillatory properties of this equation to the solvability of the associated Riccati-type dynamic equation and to the positivity of the corresponding energy functional. This result is then used to prove (non)oscillation criteria for the above equation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 18 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Dosly, O., & Marek, D. (2005). Half-linear dynamic equations with mixed derivatives. <i>Electronic Journal of Differential Equations, 2005</i>(90), pp. 1-18. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13691 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Time scale | |
| dc.subject | Half-linear dynamic equations | |
| dc.subject | Mixed derivatives | |
| dc.subject | Picone's identity | |
| dc.subject | Roundabout theorem | |
| dc.title | Half-linear dynamic equations with mixed derivatives | |
| dc.type | Article |