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Oscillation of Third-order Delay Dynamic Equations on Time Scales
Pages: 447-456
Year: Issue:  3
Journal: Chinese Quarterly Journal of Mathematics

Keyword:  oscillationtime scalesdelay dynamic equationsRiccati transformationnon-linear neutral term;
Abstract: This paper is concerned with the oscillatory behavior of a class of third-order nonlinear variable delay neutral functional dynamic equations on time scale. By using the generalized Riccati transformation and inequality technique, we establish some new oscilla-tion criteria for the equations. Our results extend and improve some known results, but also unify the oscillation of third-order nonlinear variable delay functional differential equations and functional difference equations with a nonlinear neutral term. Some examples are given to illustrate the importance of our results.
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