共查询到19条相似文献,搜索用时 62 毫秒
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MIKUSINSKI'S OPERATORS SOLUTION OF THREE-ORDER LINEAR DIFFERENCE EQUATION WITH VARIABLE COEFFICIENTS
周之虎 《应用数学和力学(英文版)》1994,(1)
MIKUSINSKI'SOPERATORSSOLUTIONOFTHREE-ORDERLINEARDIFFERENCEEQUATIONWITHVARIABLECOEFFICIENTSZhouZhi-hu(周之虎)(AnhuiArchitecturalI... 相似文献
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邱荣 《应用数学和力学(英文版)》1996,17(4):379-386
THEEQUATIONOFMOTIONFORTHESYSTEMOFTHEVARIABLE ASSINTHENON-LINEARNON-HOLONOMICSPACETHEEQUATIONOFMOTIONFORTHESYSTEMOFTHEVARIABLE... 相似文献
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司建国 《应用数学和力学(英文版)》1996,17(1):29-37
SiJianguo(司建国)(ReceivedMay30,1994,CommunicatedbyLinZongchi)DISCUSSIONONTHEPERIODICSOLUTIONSFORHIGHER-ORDERLINEAREQUATIONOFNEU... 相似文献
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钟洪发 《应用数学和力学(英文版)》1986,(12)
This paper discusses the following non-linear systems of second order coefficients:This paper is the generalization of works[1]and[2]. 相似文献
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马明书 《应用数学和力学(英文版)》1996,17(11):1075-1079
A-HIGH-ORDERACCURACYEXPLICITDIFFERENCESCHEMEFORSOLVINGTHEEQUATIONOFTWO-DIMENSIONALPARABOLICTYPEMaMingshu(马明书)(ReceivedJune2,1... 相似文献
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张居铃 《应用数学和力学(英文版)》1994,(1)
ACOMPLETEEXPRESSIONOFTHEASYMPTOTICSOLUTIONOFDIFFERENTIALEQUATIONWITHAN-THORDERTURNINGPOINTZhangJu-ling(张居铃)(SichuanInstituteo... 相似文献
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In reference [1] asymptotic stability of dynamic system with slowly changing coefficients for all characteristic roots which have negative real part has been proved by means of Liapunov's second method. In this paper, we give some sufficient conditions of the instability for the third order linear differential equation with varied coefficient, at least one of the characteristic roots of which has positive real part, by means of Liapunov's second method. 相似文献
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THEASYMPTOTICEXPRESSIONOFTHESOLUTIONOFTHECAUCHY’SPROBLEMFORAHIGHERORDERLINEARORDINARYDIFFERENTIALEQUATIONWHENTHELIMITEQUATION... 相似文献
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邱荣 《应用数学和力学(英文版)》1996,17(6):585-587
THEMETHODOFDERIVATIONOFMAC-MILLAN'SEQUATIONFORTHENON-LINEARNON-HOLONOMICSYSTEM¥QiuRong(邱荣)(DepartmentofPhysics,FuzhouUniversi... 相似文献
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高永馨 《应用数学和力学(英文版)》1996,(6)
EXISTENCEOFSOLUTIONSOFTHREE-POINTBOUNDARYVALUEPROBLEMSFORNONLINEARFOURTHORDERDIFFERENTIALEQUATION¥GaoYongxin(高永馨)(Departmento... 相似文献
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Yongliang ZHANG M. N. SMIRNOVA A. I. BOGDANOVA Zuojin ZHU N. N. SMIRNOV 《应用数学和力学(英文版)》2018,39(12):1769-1788
Travel time through a ring road with a total length of 80 km has been predicted by a viscoelastic traffic model(VEM), which is developed in analogous to the non-Newtonian fluid flow. The VEM expresses a traffic pressure for the unfree flow case by space headway, ensuring that the pressure can be determined by the assumption that the relevant second critical sound speed is exactly equal to the disturbance propagation speed determined by the free flow speed and the braking distance measured by the average vehicular length. The VEM assumes that the sound speed for the free flow case depends on the traffic density in some specific aspects, which ensures that it is exactly identical to the free flow speed on an empty road. To make a comparison, the open Navier-Stokes type model developed by Zhang(ZHANG, H. M. Driver memory, traffic viscosity and a viscous vehicular traffic flow model. Transp. Res. Part B, 37, 27–41(2003)) is adopted to predict the travel time through the ring road for providing the counterpart results.When the traffic free flow speed is 80 km/h, the braking distance is supposed to be 45 m,with the jam density uniquely determined by the average length of vehicles l ≈ 5.8 m. To avoid possible singular points in travel time prediction, a distinguishing period for time averaging is pre-assigned to be 7.5 minutes. It is found that the travel time increases monotonically with the initial traffic density on the ring road. Without ramp effects, for the ring road with the initial density less than the second critical density, the travel time can be simply predicted by using the equilibrium speed. However, this simpler approach is unavailable for scenarios over the second critical. 相似文献
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给出KdV-Burgers方程的有界行波解的精确级数解,采用Adomian算子分解法分别求行二个区域ζ〈0和ζ〉0的级数解,然后利用对接连续条件构成整体级数解。所得级数解能精确满足对接连续条件,并由此得到确定级数的系数递推公式,无需解非红性高阶代数方程组。与某些精确解及其它方法比较,计算简捷具在对接点处是收剑的。对某些非线性波动现象的研究,可作为计算和分析的数学依据。 相似文献
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变截面梁板弯曲问题的一般解答 总被引:2,自引:0,他引:2
本文利用广义函数研究了截面呈阶梯形变化的梁板弯曲问题,直接导出了挠度通用公式。研究结果表明,不论梁板边界的约束条件怎样,均可归结为求解一个二元一次线性代数方程组的问题,与传统方法相比要简捷得多。 相似文献
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本文用薄壳理论导出了壁厚线性变化的锥壳在承受轴对称截荷时的复变量方程,在薄壳理论误差范围内求得了齐次方程的渐近解和工程实用载荷的非齐次解,并给出了算例。 相似文献
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压电介质二维边界积分方程中的基本解 总被引:8,自引:0,他引:8
由于压电介质的变形-电场耦合效应及压电响应的各向异性,使解析求解压电介质问题的工作变量十分复杂,若采用边界元数值方法求解,必须具备积分方程中的基本解,本文根据电磁场方程及连续介质力学的耦合性质论层出了二维无限域中分别在单位力及单位电荷载作用下的位移场,电势场、应力场和电位移场的解,从而确立了边界积分方程中所必需的八个基本解。 相似文献
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三类随机系统广义概率密度演化方程的解析解 总被引:1,自引:0,他引:1
近年来逐步发展的概率密度演化方法理论为随机动力系统的分析与控制研究提供了新的途径.过去若干年来,已经发展了一系列数值方法如有限差分法、无网格法用于求解广义概率密度演化方程.但是,针对典型随机系统,关于这一方程解析解尚比较缺乏.本文以李群方法为工具,研究给出了Van der Pol振子、Riccati方程和Helmholtz振子3类典型随机非线性系统的广义概率密度演化方程解析解.这些结果,不仅可以作为检验求解广义概率密度演化方程的数值方法结果正确性的判别依据,也为概率密度演化理论的进一步深入研究提供了若干分析实例. 相似文献
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