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- The coefficient functions of the hyperbolic equations considered are assumed to be piecewise constant. 我们假设在所考虑的微分方程中，系数函数为片段常函数。
- Linear triangular element is considered to solve second order hyperbolic equations on anisotropic meshes in 2-D. 讨论各向异性网格下线性三角形有限元对二阶双曲方程的逼近问题。
- The oscillation of a class of nonlinear hyperbolic equations with continuous distributed deviating arguments is studied. 研究了一类带连续分布的滞变量的非线性双曲方程的振动性.
- Cui Baotong, Li Weinian. Oscillation of systems of hyperbolic equations with functional arguments[J]. Appl. Anal. , 1999, 72(1-2): 43-56. 郑立辉;潘德惠.;家庭轿车需求量预测的分布参数系统方法[J]
- Super convergence of semidiscretization interpolation coefficients of guasilinear hyperbolic equations is discussed by using GFEM. 3.;讨论了拟线性双曲方程的半离散插值系数有限元的超收敛性。
- Then we analyze hyperbolic equations solving algorithms and deduceassociated algorithm of Taylor series expansion and Least-Lquares estimation,stimulate the algorithm. 然后分析了双曲线定位方程的求解算法,推导了泰勒级数展开结合最小二乘估计联合求解算法,并对算法性能进行了仿真;
- The paper studies a problem of modelling the early growth of ductal carinoma in situ of the breast (DCIS).This model has decoupled parabolic equations and hyperbolic equations. 摘要研究了乳腺癌的早期生长模型(DCIS)，它为耦合了抛物方程、椭圆方程的自由边界问题。
- By making use of the similar methods described in reference[1] , a series of criterions on the oscillatory properties of neutra l hyperbolic equations were established. 研究一类变时滞的中立型双曲方程解的振动性质，利用与文献[1]相类似的方法和泛函微分方程的某些结果，建立了若干振动性的判别准则。
- The paper studies a problem of modelling the early growth of ductal carinoma in situ of the breast (DCIS). This model has decoupled parabolic equations and hyperbolic equations. 研究了乳腺癌的早期生长模型(DCIS);它为耦合了抛物方程、椭圆方程的自由边界问题.
- Abstract: For a class of nonlinear hyperbolic equations,the existence and uniquess of a global weak solution are obtained,the dependent relation of existential interval of a classical solution on data is gained too. 文摘:对一类非线性双曲方程给出了整体弱解的存在唯一性及古典解关于时间的存在区间对资料的依赖关系。
- In this paper author has studied the nonlinear hyperbolic equations of higher order andnonlinear parabolic equations of higher order, proved that the solution of the problems are sure to blowup at a certain time. 本文研究了某一类非线性高阶双曲型方程与非线性高阶抛物型方程，证明了它们的解必在某一有限时刻blowup。
- The results obtained shows the intrinsic difference of the neutral hyperbolic equations from hyperbolic equation. 这些结果充分揭示了中立型双曲方程与双曲型方程存在质的差异。
- A clase of leap-frog finite difference scheme with higher stability propertiesfor a hyperbolic equation Ut+aUx=0 are proposed in this paper. 本文提出了一种数值求解双曲方程Ut+aUx=0的高稳定性蛙跳显格式。
- second order quasilinear hyperbolic equations 二阶拟线性双曲型方程
- The paper deals with the existence of global solution for some semilinear hyperbolic equation with initial and boundary value by using Galerkin method and compactness criteria. 应用Galerkin方法及紧致性原理,研究了一类非线性双曲型方程初边值问题整体解的存在性。
- nonlinear first order hyperbolic equations 一阶非线性双曲型方程组
- In this paper,some GE schemes for the first order hyperbolic equation with constant coefficients are given.Then we analysis the stability and the error. 本文给出一阶常系数双曲型方程初边值问题的几类GE算法,分析它们的稳定性与收敛性。
- A class of nonconforming finite elements are applied to hyperbolic equation with semidiscretization on anisotropic meshes, the optimal error estimates are derived. 摘要在各向异性条件下，讨论了双曲型方程的一类非协调有限元逼近，给出了半离散格式下的最优误差佑计。
- inhomogeneous hyperbolic equations 非齐次双曲方程
- Conventional seismic data processing method uses hyperbolic equation to describe time-distance formula of reflection wave, error of this equation increases with the increase of heterogeneity, anisotropy and spread length. 常规地震资料处理方法是利用双曲线方程来描述反射波时距曲线规律，此方程随着地层非均质性、各向异性和排列长度的增加，其误差变大。
