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| 摘要: |
| 主要利用Mawhin连续性定理，讨论了一类四阶带有多个变时滞的p-Lapcaian中立型泛函微分方程：（φp（x(t)-cx(t-γ)）"）"=f(x(t))x'(t)+gi(t,x(t-τi(t,|x|∞,|x'|∞)))+e(t)周期解的存在性，得到了方程周期解存在性的相关结论。这与已有文献的结果不同，所考虑的方程更一般，从而所得的结果就更有广泛的意义。 |
| 关键词: 周期解 中立型泛函微分方程 Mawhin连续性定理 |
| DOI： |
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| The Existence of Periodic Solutions for a Class of Fourth-order p-Laplacian Neutral Functional Differential Equation with Multiple Deviating Arguments |
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XU Jian-zhong,ZHOU Zong-fu
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| Abstract: |
| In this paper,by means of Mawhin's continuation theorem,we study the existence of the operiodic solution for a kind of fourth-order p-Laplacian neutral functional differential equation with multiple delays:（φp（x(t)-cx(t-γ)）"）"=f(x(t))x'(t)+gi(t,x(t-τi(t,|x|∞,|x'|∞)))+e(t) and obtains the related conclusions on the existence of the periodic solution for this equation,our results are different from the previous literatures and the equation considered considered is more general so that the results have much more comprehensive meanings. |
| Key words: periodic solution neutral functional differential equation Mawhin's continuation theorem |
