Comparison Criteria for Nonlinear Functional Dynamic Equations of Higher Order

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=1,…,n-1,   with  x0=x,  ϕβ(u)≔uβsgn⁡u, and α[i,j]≔αi⋯αj. The function φi:T→T is a rd-continuous functi...

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Bibliographic Details
Main Authors: Taher S. Hassan, Said R. Grace
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/6847956
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