共查询到20条相似文献,搜索用时 78 毫秒
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含有时滞的CES生产函数的资产投资模型解的稳定性 总被引:1,自引:0,他引:1
研究含有非局部和时滞边界条件的投资控制模型在解的存在唯一性基础上,讨论了模型解的稳定性,得到解的渐进稳定性. 相似文献
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本文研究具有Hamilton形式的耦合BBM方程组孤立波解的轨道稳定性.首先找到两族显式孤立波解.然后通过详细的谱分析证明出孤立波解的轨道稳定性. 相似文献
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一类随机脉冲微分系统的稳定性 总被引:1,自引:0,他引:1
本文给出了随机脉冲微分系统零解的最终稳定性的定义,利用Liapunov函数,得到了非线性随机脉冲微分系统零解一致最终稳定性及一致最终渐进稳定性和最终不稳定的充分条件. 相似文献
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该文应用周期解的线性化稳定性的Floquet理论研究了一类含时滞的周期Logistic方程的周期解的稳定性. 相似文献
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针对一类系数含时滞的时滞微分方程,讨论了时滞对微分方程定常解稳定性的影响,建立了定常解稳定性发生改变的几何判别法. 相似文献
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杨喜陶 《数学物理学报(A辑)》2008,28(5):870-878
作者通过Liapunov泛函建立了一类高维差分方程解一致稳定、一致渐近稳定及指数渐近稳定的充要条件. 此外, 作者还证明了解的一致渐近稳定性蕴含解的有界性, 同时也给出了概周期差分方程存在概周期解的一个充分条件. 相似文献
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LIU Bin Laboratory of Mathematics its Applications School of Mathematical Sciences Peking University Beijing China 《中国科学 数学(英文版)》2010,(1)
We deal with the stability of zero solutions of planar Hamiltonian and reversible systems which are quasi-periodic in the time variable. Under some reasonable assumptionswe prove the existence of quasi-periodic solutions in a small neighborhood of zero solutions and the stability of zero solutions. 相似文献
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以相空间为基础,研究了具有无限时滞中立型泛函微分方程解的稳定性和有界性,建立了方程解为一致稳定,一致渐近稳定的充要性判据;证明了当方程右端泛函满足Lipschitz条件时,解的一致渐近稳定性蕴涵了有界解的存在性,推广了文献[4-6]中已有的相关结果. 相似文献
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Meng Fan Jiabu DishenQian Wan Ke Wang 《Journal of Mathematical Analysis and Applications》2002,276(2):545-560
Sufficient and necessary criteria are established for the uniform stability and uniformly asymptotic stability of solutions of neutral functional differential equations (NFDEs) with finite delay by using the Liapunov functional approach. We also prove that the uniformly asymptotic stability of solutions implies the existence of bounded solution. 相似文献
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对三维有界及无界区域上的Boussinesq方程的全局L~2稳定性进行了讨论.在解满足适当的条件下,证明了此解为稳定的,并得出此稳定性条件的等价性条件,最后得出了二维Boussinesq方程组在三维扰动下的解的全局存在性和稳定性. 相似文献
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I. Ya. Aref’eva N. V. Bulatov S. Yu. Vernov 《Theoretical and Mathematical Physics》2010,163(3):788-803
We consider the stability of isotropic solutions for two-field models in the Bianchi I metric. We prove that the sufficient
conditions for Lyapunov stability in the Friedmann-Robertson-Walker metric ensure the stability under anisotropic perturbations
in the Bianchi I metric and also under perturbations of the energy density for cold dark matter. We find sufficient conditions
for the Lyapunov stability of isotropic fixed points for the system of Einstein equations. We use the superpotential method
to construct stable kink-type solutions and obtain sufficient conditions on the superpotential for the Lyapunov stability
of the corresponding exact solutions. We analyze the stability of isotropic kink-type solutions for models related to string
field theory. 相似文献
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Joachim Escher 《偏微分方程通讯》2013,38(3):363-379
We consider the dynamic of a fixed volume of ferrofluid in a Hele-Shaw cell under the influence of centrifugal and magnetic forces. The steady-state solutions of the associated moving boundary problem are the periodic solutions of a generalized Laplace-Young equation. We use bifurcation theory to find analytic curves consisting of non-radial steady-state solutions of the problem. The stability of these solutions is discussed by using the exchange of stability theorem. 相似文献
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本文对三维有界及无界区域上描述地球物理流动的磁流体型发展方程解的 全局L2稳定性进行了讨论.在解满足适当的条件下,证明了此解为稳定的,并得到 非强迫二维磁流体流动在三维扰动下的稳定性. 相似文献