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By establishing a new comparison principle,and using method of L-quasi-upper and lower solutions and mixed monotone iterative technique,the results of existence and uniqueness of solutions to Cauchy problem s of first order nonlinear integrodifferential equations in Banach spaces are obtained.

通过建立一个新的比较原理,利用L-拟上下解方法和混合单调迭代法,研究了Banach空间中一阶非线性积分微分方程初值问题解的存在唯一性,并给出了近似解的迭代序列和误差估计式。

The collision term is two bi-velocity non-dimensionalized reduced ngle tri-velocity model equation is transformed into a bi- h integrating weightedly the non-dimensionalized model equation about the third component of molecule velocity.

采用BGK模型和Shakov模型近似碰撞项,进而引入两个二速度无量纲简化分布函数,通过关于分子速度第三分量取矩积分,将三速度单一模型方程变换为二速度微分方程组。

This has offered theoretically approximation and finite element methods so as to complement the theory of fractal interpolation cambers.

本文最后不但列举了现代数学分析方法在阳极焙烧及其热工过程中的具体应用途径,而且在求解热工微分方程近似解时提供了计算技巧。

In the second part we investigate the existence of inertial and approximateinertial manifolds for some classes of PDEs.

第二部分研究了几类偏微分方程惯性流形和近似惯性流形的存在性。

The differential cross section, the polarisation and the spin-rotationparameter in elastic scattering of 180 MeV antiproton by 12C are calculated by means ofGlauber s multiple scattering theory and Pauli-correlated wavefunction .

在Glauber多重散射理论近似下,采用泡里关联的核波函数,使用一种唯象的湮灭势,对180MeV的在12C上的弹性散射微分截面,极化角分布和自旋旋转参数进行了计算。

In this study, the adsorption process initiated from oven-dry state, so there are no water molecules in V2 region; the desorption process initiated from fiber saturation point, at which state the water molecules have similar thermodynamic properties with liquid water and the differential thermodynamic properties are regarded as zero.

由于本研究中所采用的吸着过程中 V2区域中不存在水分子,而解吸过程中 V2区域的水分子的热力学量都与液态水基本相似,所以微分热力学量可以近似为零。

From the kinetic differential equations of the photon in the equatorial plane of the spherical symmetrical gravity field, the post-post-Newtonian amendments for radar echo delay test in the Reissner-Nordstrm field are discussed using the post-Newtonian approximation method.

从球对称引力场中光子在赤道面上的运动微分方程出发,采用后牛顿近似方法,讨论了Reissner-Nordstrm度规场中雷达回波延迟实验的后后牛顿修正。

Based on pole model of lathe, thickness of side-board is treated as design parameter. This problem becomes a nonlinear problem, but it may become a linear problem using method of differential coefficient. Through method of calculating energy of sub-structure, thinking of each board separately, so getting final results rapidly.

以机床立柱模型为例,将模型的侧板板厚作为设计参数,并运用微分近似的方法,将非线性问题简化为线性问题求解,推导出了适用于板结构设计的计算公式,并通过计算子结构能量的方法,将每块侧板分开来考虑,降低了对计算机处理能力的要求,从而快速得到最终结果。

Different low-spetral models are used to discuss the variations of the equilibrium states, with the results that the multiple features of equilibrium saltes depend heavily on the truncations of the spectra and the low-spectral model has obvious shortcomings in solving non-linear equations, suggesting that one has to be very careful to employ highly truncated low-sp...

结果显示,平衡态的特性严重地依赖于谱的截断,显示出低谱模式在求解非线性方程中的缺陷,说明用高截断的低谱模式去近似偏微分方程需要特别小心。

Nonlinear partial differential dynamic equations of bending vibration of a tilting stepped drive shaft with two supports were built under non-inertia movement coordinate system by theorem of the motion of mass center and Heaviside function. According to the condition of equal displacement in an adjoining plane of the shaft, an equivalent shaft and its equation were obtained. A motion equation of the equivalent shaft was obtained by method of Galerkin. An approximate steady-state solution of the main resonance was obtained by method of multiple scales. The influence factors, motion stability, amplitude jump of main resonance of a stepped drive shaft and so on were analyzed.

用质心运动定理、Heaviside函数建立了非惯性系下倾料两端支承阶梯传动轴的非线性弯曲振动偏微分动力学方程,并根据相邻轴段的衔接面处位移相等的条件,得到阶梯轴的当量轴及其动力学方程;用Galerkin法得到当量轴的弯曲运动方程,用多尺度法求得稳态下当量轴的主共振的一次近似定常解,分析了影响阶梯传动轴主共振的因素、运动稳定性、振幅突变性等。

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