| 一类具有偏差变元的高阶中立型Rayleigh方程周期解的存在性 |
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| 引用本文： | 罗芳琼,姚晓洁,秦发金. 一类具有偏差变元的高阶中立型Rayleigh方程周期解的存在性[J]. 数学的实践与认识, 2012, 42(22): 189-197 |
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| 作者姓名： | 罗芳琼 姚晓洁 秦发金 |
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| 作者单位： | 广西柳州师范高等专科学校数学与计算机科学系,广西柳州,545004 |
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| 摘 要： | 利用重合度理论和不等式分析技巧,获得了一类具有偏差变元的高阶中立型Rayleigh方程(x(t)-cx(t-σ))~((m))+f(x'(t))+β(t)g(x(t-τ(t)))=p(t)周期解存在性的新的充分条件,有意义的是函数f(x)和非线性项前的系数β(t)可以变号.
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| 关 键 词： | 高阶中立型Rayleigh方程 偏差变元 周期解 重合度 |
Existence of Periodic Solutions for a Kind of High-order Neutral Rayleigh Equation with a Deviating Argument |
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| LUO Fang-qiong , YAO Xiao-jie , QIN Fa-jin. Existence of Periodic Solutions for a Kind of High-order Neutral Rayleigh Equation with a Deviating Argument[J]. Mathematics in Practice and Theory, 2012, 42(22): 189-197 |
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| Authors: | LUO Fang-qiong YAO Xiao-jie QIN Fa-jin |
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| Affiliation: | (Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou 545004,China) |
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| Abstract: | In this paper,by employing continuation theorem of coincidence degree theory, some new sufficient condition are obtained for the existence of periodic solutions for a kind of high-order neutral Rayleigh equations with a deviating argument as follows (x(t) - cx(t -σ))~((m)) + f(x'(t)) +β(t)g(x(t -τ(t))) = p(t) It is meaningful that the function f(x) and the coefficientβ(t) are allowed to change signs. |
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| Keywords: | high-order neutral Rayleigh equations deviating argument periodic solutions coincidence degree |
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