Oscillation criteria for certain third-order variable delay functional dynamic equations on time scales |
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Authors: | Jiashan Yang |
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Affiliation: | 1. Department of Science and Information, Shaoyang University, Shaoyang, Hunan, 422004, People’s Republic of China
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Abstract: | The oscillation of certain third-order nonlinear variable delay functional dynamic equations with nonlinear neutral on time scales is discussed in this article. By using the generalized Riccati transformation and a lot of inequality techniques, some new oscillation criteria for the equations are established. Many of the results are new for the corresponding third-order difference equations and differential equations are as special cases. Some examples are given to illustrate the importance of our results. |
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