Criteria and estimates for decaying oscillatory solutions for some second-order quasilinear ODEs
| dc.contributor.author | T, Tadie | |
| dc.date.accessioned | 2022-03-21T16:41:34Z | |
| dc.date.available | 2022-03-21T16:41:34Z | |
| dc.date.issued | 2017-01-24 | |
| dc.description.abstract | Oscillation criteria for the solutions of quasilinear second order ODE are revisited. In our early works [6, 7], we obtained basic oscillation criteria for {φα (u′(t))|′ + αc(t)φβ (u(t)) = 0 by estimating of the diameters of the nodal set of the solutions. The focus of this work is to estimate the decay of the oscillatory solutions. Let u be a strongly oscillatory solution, (tm) the increasing sequence of zeros of u′, and Dm the nodal set of u that contains tm. We estimate |u(tm)|∞ ≔ max t∈Dm |u(t)| and the diameter of Dm as m → ∞. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 10 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Tadie (2017). Criteria and estimates for decaying oscillatory solutions for some second-order quasilinear ODEs. <i>Electronic Journal of Differential Equations, 2017</i>(28), pp. 1-10. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15533 | |
| 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, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Oscillation criteria for ODE | |
| dc.subject | Estimates of decaying solutions | |
| dc.title | Criteria and estimates for decaying oscillatory solutions for some second-order quasilinear ODEs | |
| dc.type | Article |