Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473224 | Computers & Mathematics with Applications | 2011 | 14 Pages |
Abstract
In this paper, oscillatory and asymptotic property of solutions of a class of nonlinear fourth order neutral dynamic equations of the form (H)(r(t)(y(t)+p(t)y(α(t)))Δ2)Δ2+q(t)G(y(β(t)))=0 and (NH)(r(t)(y(t)+p(t)y(α(t)))Δ2)Δ2+q(t)G(y(β(t)))=f(t)fort∈[t0,∞]T,t0⩾0, where TT is a time scale such that sup T=∞T=∞, t0∈Tt0∈T have been studied under the assumption ∫t0∞tr(t)Δt=∞ for various ranges of p(t)p(t). Sufficient conditions are obtained for the existence of bounded positive solutions of (NH)(NH) by using Schauder’s fixed point theorem.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
S. Panigrahi, P. Rami Reddy,