An Asymptotic Behavior Property of High-Order Nonlinear Dynamic Equations on Time Scales

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Abstract

In this work, by using one dynamic Gronwall–Bihari-type integral inequality on time scales, an interesting asymptotic behavior property of high-order nonlinear dynamic equations on time scales was obtained, which also generalized two classical results belong to Máté and Nevai’s and Agarwal and Bohner’s, respectively.

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