Interval oscillation of second-order Emden-Fowler neutral delay differential equations
| dc.contributor.author | Chen, Mu | |
| dc.contributor.author | Xu, Zhiting | |
| dc.date.accessioned | 2021-08-06T14:19:26Z | |
| dc.date.available | 2021-08-06T14:19:26Z | |
| dc.date.issued | 2007-04-22 | |
| dc.description.abstract | Employing Riccati techniques and the integral averaging method, we establish interval oscillation criteria for the second-order Emden-Fowler neutral delay differential equation [|x′(t)|γ-1 x′(t)]′ + q1(t)|y(t - σ)|α-1 y(t - σ) + q2(t)|y(t - σ)|β-1 y(t - σ) = 0, where t ≥ t0 and x(t) = y(t) + p(t)y(t - τ). The criteria obtained here are different from most known criteria in the sense that they are based on information only on a sequence of subintervals of [t0, ∞), rather than on the whole half-line. In particular, two interesting examples that illustrate the importance of our results are included. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Chen, M., & Xu, Z. (2007). Interval oscillation of second-order Emden-Fowler neutral delay differential equations. <i>Electronic Journal of Differential Equations, 2007</i>(58), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14219 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Interval oscillation | |
| dc.subject | Neutral delay differential equation | |
| dc.subject | Emden-Fowler | |
| dc.subject | Riccati technique | |
| dc.subject | Integral averaging method | |
| dc.title | Interval oscillation of second-order Emden-Fowler neutral delay differential equations | |
| dc.type | Article |