On the oscillation of higher order dynamic equations

We present some new criteria for the oscillation of even order dynamic equation a(t)(xΔn-1(t))αΔ+q(t)(x(t))α=0, on time scale T, where α is the ratio of positive odd integers a and q is a real valued positive rd-continuous functions defined on T.

Bibliographic Details
Main Author: Said R. Grace
Format: Article
Language:English
Published: Elsevier 2013-03-01
Series:Journal of Advanced Research
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S209012321200029X
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author Said R. Grace
author_facet Said R. Grace
author_sort Said R. Grace
collection DOAJ
description We present some new criteria for the oscillation of even order dynamic equation a(t)(xΔn-1(t))αΔ+q(t)(x(t))α=0, on time scale T, where α is the ratio of positive odd integers a and q is a real valued positive rd-continuous functions defined on T.
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spelling doaj.art-8a19b4cb821b4033a48e4bd1683f8cfd2022-12-21T18:51:38ZengElsevierJournal of Advanced Research2090-12322090-12242013-03-014220120410.1016/j.jare.2012.04.003On the oscillation of higher order dynamic equationsSaid R. GraceWe present some new criteria for the oscillation of even order dynamic equation a(t)(xΔn-1(t))αΔ+q(t)(x(t))α=0, on time scale T, where α is the ratio of positive odd integers a and q is a real valued positive rd-continuous functions defined on T.http://www.sciencedirect.com/science/article/pii/S209012321200029XOscillationHigher OrderDynamic equations
spellingShingle Said R. Grace
On the oscillation of higher order dynamic equations
Journal of Advanced Research
Oscillation
Higher Order
Dynamic equations
title On the oscillation of higher order dynamic equations
title_full On the oscillation of higher order dynamic equations
title_fullStr On the oscillation of higher order dynamic equations
title_full_unstemmed On the oscillation of higher order dynamic equations
title_short On the oscillation of higher order dynamic equations
title_sort on the oscillation of higher order dynamic equations
topic Oscillation
Higher Order
Dynamic equations
url http://www.sciencedirect.com/science/article/pii/S209012321200029X
work_keys_str_mv AT saidrgrace ontheoscillationofhigherorderdynamicequations