On oscillation and asymptotic behaviour of a neutral differential equation of first order with positive and negative coefficients
| dc.contributor.author | Rath, Radhanath | |
| dc.contributor.author | Mishra, Prayag Prasad | |
| dc.contributor.author | Padhi, Laxmi Narayan | |
| dc.date.accessioned | 2021-08-02T16:46:11Z | |
| dc.date.available | 2021-08-02T16:46:11Z | |
| dc.date.issued | 2007-01-02 | |
| dc.description.abstract | In this paper sufficient conditions are obtained so that every solution of (y(t) - p(t)y(t - τ))′ + Q(t)G(y(t - σ)) - U(t)G(y(t - α)) = ƒ(t) tends to zero or to ±∞ as t tends to ∞, where τ, σ, α are positive real numbers, p, ƒ ∈ C([0, ∞), R), Q, U ∈ C([0, ∞), [0, ∞)), and G ∈ C(R, R), G is non decreasing with xG(x) > 0 for x ≠ 0. The two primary assumptions in this paper ∫<sup>∞</sup><sub>t0</sub> Q(t) = ∞ and ∫∞t0 U(t) < ∞. The results hold when G is linear, super linear, or sublinear and also hold when ƒ(t) ≡ 0. This paper generalizes and improves some of the recent results in [5, 7, 8, 10]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Rath, R., Mishra, P. P., & Padhy, L. N. (2007). On oscillation and asymptotic behaviour of a neutral differential equation of first order with positive and negative coefficients. <i>Electronic Journal of Differential Equations, 2007</i>(01), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14151 | |
| 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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Oscillatory solution | |
| dc.subject | Nonoscillatory solution | |
| dc.subject | Asymptotic behaviour | |
| dc.title | On oscillation and asymptotic behaviour of a neutral differential equation of first order with positive and negative coefficients | |
| dc.type | Article |