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Comparison Theorems for Even Order Dynamic Equations on Time Scales

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2014

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Dynamic Publishers, inc

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Abstract

Consider the following pair of even order linear dynamic equations on a time scale (0.1) x(Delta n)(t) + p(t)x(t) = 0, (0.2) x(Delta n)(t) + q(t)x(t) = 0, where p, q is an element of C-rd(T,R+), n is even, T is a time scale. In this paper, we obtain some point-wise and integral comparison theorems for the above equations. These will be shown to be "sharp" by means of specific examples.

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Baoguo, J., Erbe, L., Mert, R. (2014). Comparison theorems for even order dynamic equations on time scales. Dynamic Systems and Applications, 23(2-3), 221-234.

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23

Issue

2-3

Start Page

221

End Page

234
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