| 具多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： | 姚晓洁.具多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,2011,41(16). |
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| 作者姓名： | 姚晓洁 |
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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Mawhin重合度拓展定理,获得了一类具偏差变元的高阶中立型Rayleigh方程(x(t)-(?)c_lx(t-r_l))~(k)+(?)α_i(t)f(x′(t-μ_i(t)))+(?)β_j(t)g(x(t-τ_j(t)))=p(t)周期解存在性的充分条件,推广和改进了已有文献的相关结果.
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| 关 键 词： | 周期解 Mawhin重合度拓展定理 高阶中立型Rayleigh方程 |
Existence of Periodic Solutions for a Class of High Order Neutral Functional Differential Equation with Multiple Deviating Arguments |
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| YAO Xiao-jie.Existence of Periodic Solutions for a Class of High Order Neutral Functional Differential Equation with Multiple Deviating Arguments[J].Mathematics in Practice and Theory,2011,41(16). |
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| Authors: | YAO Xiao-jie |
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| Institution: | YAO Xiao-jie (Department of Mathematics and Computer Science,Liuzhou Teachers College,Liuzhou 545004,China) |
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| Abstract: | In this paper,by employing Mawhin's continuation theorem,some new sufficient condition of the existence of periodic solutions for a kind of high-order Neutral functional differential equation with multiple deviating arguments shch as (x(t)-Σ_(l=1)~q c_lx(t-r_l))~((k))+Σ_(i=1)~mα_i(t)f(x'(t-μ_i(t)))+Σ_(j=1)~nβ_j(t)g(x(t-τ_j(t)))=p(t) The results have been extend and improved the related reports in the literatures. |
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| Keywords: | periodic solution Mawhin's continuation theorem of coincidence degree principle high-order Neutral functional differential equation |
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