共查询到19条相似文献,搜索用时 62 毫秒
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讨论下列二阶微分方程(y|¨)+ay+U_y(t,y)=0.的同宿解的存在性,其中t∈R,y∈Rn,n∈N,a>0是一个常数,U(t,y)∈Cn,n∈N,a>0是一个常数,U(t,y)∈C1(R×R1(R×Rn,R),U_y(t,y)表示U(t,y)关于y的梯度.引入快同宿解的概念并给出方程存在快同宿解的判定准则. 相似文献
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一类时滞Duffing型方程的周期解 总被引:34,自引:1,他引:33
本文考虑Duffing型方程αx^n bx g(x(t-r))=p(t),用重合度理论,获得了此方程至少存在一个2n周期解的充分条件. 相似文献
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我们利用Mawhin重合度拓展定理,研究了一类时滞三阶微分方程解的存在性问题,得到了其存在2π周期解的新的结果.值得关注的是,我们允许滞量r是一个函数,并且所得结论与时滞ι(t)有关.同时给出一个实例来论证我们的结果. 相似文献
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一类具时滞耗散型Duffing方程的周期解 总被引:1,自引:0,他引:1
利用Mawhin重合度理论研究了一类耗散型时滞Duffing方程ax″+f[x′(t-τ1(t))]+cx+g(x(t-τ2(t)))=p(t)周期解的存在性,得到了该方程2π周期解存在的充分性定理. 相似文献
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利用Fourier级数理论。伯努利数理论和重合度理论研究了一类具分布时滞的高阶泛函微分方程x^(m)(t)+f(x^(m-1)(t)+g(∫-r^0x(t+s)da(s))=p^(t)的周期解问题,得到了周期解存在的一些新结果. 相似文献
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一类Duffing型泛函微分方程周期解的存在与唯一性 总被引:1,自引:0,他引:1
汪娜 《数学的实践与认识》2009,39(3)
我们利用重合度理论,建立了一类Duffing型泛函微分方程存在唯一周期解的新结果. 相似文献
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利用新的重合度理论中的连续性定理,给出了一类带有脉冲的中立型时滞微分方程的正周期解的存在性判定定理. 相似文献
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一类具复杂偏差变元的Duffing型方程的周期解 总被引:10,自引:0,他引:10
利用拓扑度方法研究卫类具复杂偏差变元的Duffing型泛函微分方程x″(t) g(x(x(t)))=p(t)周期解的存在性,得到了方程具有周期解的充分条件。 相似文献
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具偏差变元高阶Lienard方程周期解存在性 总被引:2,自引:2,他引:2
陈仕洲 《纯粹数学与应用数学》2006,22(1):108-110,117
利用重合度理论,研究了一类具偏差变元高阶L ienard型方程周期解的存在性,获得了该方程至少存在一个周期解的充分条件. 相似文献
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Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments
By using the theory of coincidence degree, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with deviating arguments such as (φp(x′(t)−cx′(t−σ)))+g(t,x(t−τ(t)))=p(t), a result on the existence of periodic solutions is obtained. 相似文献
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By using the theory of coincidence degree, we study a kind of periodic solutions to p-Laplacian neutral functional differential equation with multiple deviating arguments, a new result on the existence of periodic solutions is obtained. 相似文献
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Lijun Pan 《Journal of Mathematical Analysis and Applications》2008,343(2):904-918
By using the coincidence degree theory of Mawhin, we study the existence of periodic solutions for higher order differential equations with deviating argument . Some new results on the existence of periodic solutions of the equations are obtained. Meanwhile, an example is given to illustrate our results. 相似文献
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Bing Liu 《Journal of Mathematical Analysis and Applications》2005,309(1):313-321
With the help of the coincidence degree continuation theorem, the existence of periodic solutions of a nonlinear second-order differential equation with deviating argument
x″(t)+f1(x(t))x′(t)+f2(x(t))(x′(t))2+g(x(t−τ(t)))=0, 相似文献
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In this paper, we use the coincidence degree theory to establish new results on the existence of T-periodic solutions for the Rayleigh equation with a deviating argument of the form
x″+f(x′(t))+g(t,x(t−τ(t)))=p(t). 相似文献
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By means of Mawhin’s continuation theorem, we study a class of p-Laplacian Duffing type differential equations of the form
Some new results on the existence and uniqueness of periodic solutions for the above equation are obtained. It is significant that the growth degree with respect to the variables u,v imposed on g(t,u,v) is allowed to be greater than p−1, so our results generalize and improve on the corresponding results in related papers. 相似文献
(φp(x′(t)))′=Cx′(t)+g(t,x(t),x(t−τ(t)))+e(t).