Comparison Criteria for Nonlinear Functional Dynamic Equations of Higher Order

Taher S. Hassan and Said R. Grace

Discrete Dynamics in Nature and Society, 2016, vol. 2016, issue 1

Abstract: We will consider the higher order functional dynamic equations with mixed nonlinearities of the form xnt+∑j=0Npjtϕγjxφjt=0, on an above‐unbounded time scale T, where n ≥ 2, xi(t)≔ri(t)ϕαixi-1Δ(t), i=11,…,n-, with x[0] = x, ϕβ(u)≔|u|βsgn⁡u, and α[i, j]≔αi ⋯ αj. The function φi:T→T is a rd‐continuous function such that limt→∞φi(t) = ∞ for j = 0,1, …, N. The results extend and improve some known results in the literature on higher order nonlinear dynamic equations.

Date: 2016
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https://doi.org/10.1155/2016/6847956

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:6847956

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