Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients
dc.contributor.author | Hasil, Petr | |
dc.contributor.author | Vesely, Michal | |
dc.date.accessioned | 2022-01-03T14:55:39Z | |
dc.date.available | 2022-01-03T14:55:39Z | |
dc.date.issued | 2018-01-17 | |
dc.description.abstract | We analyze second-order half-linear dynamic equations on time scales. We prove oscillation and non-oscillation criteria which are sharp in the sense that the considered equations remain uncovered only for one setting of their coefficients. We continue in the research of the so-called conditional oscillation. The previously known conditionally oscillatory dynamic equations were allowed to contain only periodic coefficients. In the presented results, we deal with bounded coefficients (among others, our results cover coefficients which are periodic, almost periodic, having mean values, etc.). We point out that the results are new even for linear dynamic equations. We also provide corollaries to illustrate the novelty of our results. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 22 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Hasil, P., & Vesely, M. (2018). Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients. Electronic Journal of Differential Equations, 2018(24), pp. 1-22. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15080 | |
dc.language.iso | en | |
dc.publisher | Texas State University, 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Time scale | |
dc.subject | Dynamic equation | |
dc.subject | Oscillation criteria | |
dc.subject | Conditional oscillation | |
dc.subject | Riccati technique | |
dc.subject | Half-linear equation | |
dc.subject | Linear equation | |
dc.title | Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients | |
dc.type | Article |