Oscillation results for fourth-order nonlinear neutral dynamic equations
Oscillation results for fourth-order nonlinear neutral dynamic equations
| dc.contributor.author | Panigrahi, Saroj | |
| dc.contributor.author | Graef, John R. | |
| dc.contributor.author | Rami Reddy, P. | |
| dc.date.accessioned | 2022-03-27T04:08:37Z | |
| dc.date.available | 2022-03-27T04:08:37Z | |
| dc.date.issued | 2013-08-02 | |
| dc.description.abstract | In this paper, the authors study the oscillatory and asymptotic properties of solutions of nonlinear fourth order neutral dynamic equations of the form (r(t)(y(t)+ p(t)y(α(t)))δ2)δ2 +q(t)G(y(β(t)))-h(t)H(γ((t))) = 0 (H) and (r(t)(y(t)+ p(t)y(α(t))) δ2) δ2 +q(t)G(y(β(t))) -h(t)H(γ((t))) = f (t), (NH) where T is a time scale with supT = ∞, t ∈ [t0,1)T, and t0 > 0. They assume that ∫ t0∞σ(t) r(t) δt < ∞ and obtain results for various ranges of values of p(t). Examples illustrating the results are included. © 2013 Project Euclid. | |
| dc.identifier.citation | Communications in Mathematical Analysis. v.15(1) | |
| dc.identifier.uri | https://dspace.uohyd.ac.in/handle/1/6495 | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Existence of positive solutions | |
| dc.subject | Neutral dynamic equations | |
| dc.subject | Oscillation | |
| dc.subject | Time scales | |
| dc.title | Oscillation results for fourth-order nonlinear neutral dynamic equations | |
| dc.type | Journal. Article | |
| dspace.entity.type |
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