Canonical, Noncanonical, and Semicanonical Third Order Dynamic Equations on Time Scales

Year 2022, , 273 - 278, 30.09.2022

John R. Graef

https://doi.org/10.53006/rna.1075859

Cited By: 2

Abstract

The notion of third order semicanonical dynamic equations on time scales is introduced so that any third order equation is either in canonical, noncanonical, or semicanonical form. Then a technique for transforming each of the two types of semicanonical equations to an equation in canonical form is given. The end result is that oscillation and other asymptotic results for canonical equations can then be applied to obtain analogous results for semicanonical equations.

Keywords

Dynamic equations, third order, canonical form, noncanonical form, semicanonical form, asymptotic behavior

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