Improved oscillation criteria for first-order delay differential equations with variable delay
| dc.contributor.author | Dix, Julio G. | |
| dc.date.accessioned | 2021-08-23T19:01:17Z | |
| dc.date.available | 2021-08-23T19:01:17Z | |
| dc.date.issued | 2021-04-24 | |
| dc.description.abstract | This article concerns the oscillation of solutions to the delay differential equation x′(t) + p(t)x(τ(t)) = 0. Conditions for oscillation have been stated as lower bounds for the limit superior and limit inferior of ∫tτp. In this article we match the bound for the best case in [7], without using one of their hypotheses. Then assuming that hypothesis, we obtain a bound lower than the one in [12]. Then we apply our results to an equation with several delays. We employ iterated estimates of the solution. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Dix, J. G. (2021). Improved oscillation criteria for first-order delay differential equations with variable delay. <i>Electronic Journal of Differential Equations, 2021</i>(32), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14429 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Oscillation of solutions | |
| dc.subject | First-order delay differential equation | |
| dc.subject | Eventually positive solution | |
| dc.title | Improved oscillation criteria for first-order delay differential equations with variable delay | |
| dc.type | Article |