Non-oscillatory behaviour of higher order functional differential equations of neutral type
| dc.contributor.author | Rath, Radhanath | |
| dc.contributor.author | Misra, Niyati | |
| dc.contributor.author | Mishra, Prayag Prasad | |
| dc.contributor.author | Padhy, Laxmi Narayan | |
| dc.date.accessioned | 2021-08-18T18:23:52Z | |
| dc.date.available | 2021-08-18T18:23:52Z | |
| dc.date.issued | 2007-11-30 | |
| dc.description.abstract | In this paper, we obtain sufficient conditions so that the neutral functional differential equation [r(t)[y(t) - p(t)y(τ(t))]′](n-1) + q(t)G(y(h(t))) = ƒ(t) has a bounded and positive solution. Here n ≥ 2; q, τ, h are continuous functions with q(t) ≥ 0; h(t) and τ(t) are increasing functions which are less than t, and approach infinity as t → ∞. In our work, r(t) ≡ 1 is admissible, and neither we assume that G is non-decreasing, that xG(x) > 0 for x ≠ 0, nor that G is Lipschitzian. Hence the results of this paper generalize many results in [1] and [4]-[8]. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 14 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Rath, R., Misra, N., Mishra, P. P., & Padhy, L. N. (2007). Non-oscillatory behaviour of higher order functional differential equations of neutral type. <i>Electronic Journal of Differential Equations, 2007</i>(163), pp. 1-14. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14377 | |
| 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 | Non-oscillatory behaviour of higher order functional differential equations of neutral type | |
| dc.type | Article |