| 三阶p-Laplacian中立型泛函微分方程的周期解 |
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| 引用本文： | 王海莲,王良龙.三阶p-Laplacian中立型泛函微分方程的周期解[J].吉林大学学报(理学版),2014,52(3):421-428. |
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| 作者姓名： | 王海莲 王良龙 |
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| 作者单位： | 1. 安徽大学 数学科学学院, 合肥 230601； 2. 巢湖学院 数学系, 安徽 巢湖 238000 |
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| 基金项目： | 高等学校博士点基金(批准号:20113401110001);安徽省自然科学基金(批准号:1308085MA01);安徽大学研究生学术创新研究项目(批准号:10117700020) |
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| 摘 要： | 利用Mawhin重合度理论,研究一类三阶p-Laplacian中立型泛函微分方程φp(x(t)-∑n j=1cjx(t-r))″]′+f(x(t))x′(t)+α(t)g(x(t))+∑n j=1βj(t)g(x(t-γj(t)))=p(t)周期解的存在性,得到了这类方程至少存在一个T周期解的充分条件.
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| 关 键 词： | 周期解 Mawhin重合度 三阶 p-Laplacian方程 |
| 收稿时间： | 2013-06-18 |
Periodic Solutions for Three Order p-LaplacianNeutral Functional Differential Equation |
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| WANG Hailian,WANG Lianglong.Periodic Solutions for Three Order p-LaplacianNeutral Functional Differential Equation[J].Journal of Jilin University: Sci Ed,2014,52(3):421-428. |
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| Authors: | WANG Hailian WANG Lianglong |
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| Institution: | 1. School of Mathematical Sciences, Anhui University, Hefei 230601, China；2. Department of Mathematics, Chaohu University, Chaohu 238000, Anhui
Province, China |
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| Abstract: | Using Mawhin’s coincidence degree theorem, the authors studied the existence of periodic solutions for three order p-Laplacian n
eutral functional differential equation suggesting that there exists one sufficient condition, at least, for the existence of T periodic solutions. |
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| Keywords: | periodic solution Mawhin&rsquo s coincidence degree three order p-Laplacian equation |
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