| 一类三阶中立型泛函微分方程同宿轨的存在性 |
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| 引用本文： | 黄曼娜,郭承军.一类三阶中立型泛函微分方程同宿轨的存在性[J].仲恺农业工程学院学报,2019,32(3):62-65. |
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| 作者姓名： | 黄曼娜 郭承军 |
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| 作者单位： | 1.广东工业大学应用数学学院 |
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| 摘 要： | 利用Ｍａｗｈｉｎ重合度理论，研究了一类三阶中立型泛函微分方程同宿轨的存在性．运用一些分析技巧对先验界做出估计，对一列周期解取极限，得到了所研究的方程具有一个非平凡的同宿轨．
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| 关 键 词： | Mawhin重合度理论 中立型 同宿轨 |
Existence of homoclinic orbits for a class of three order neutral functional differential equations |
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| Abstract: | The existence of homoclinic orbits for a class of third-order neutral functional differential equations was studied by using Mawhin coincidence degree theory. By using some analytical techniques to estimate the priori bounds and to extract the limit of a series of periodic solutions,it was obtained that the equation studied had a nontrivial homoclinic orbit. |
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