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A collinearity equation based space resection adjustment model is presented under frame imaging pattern.

在框幅式成像模式下提出了基于共线方程的空间后方交会条件平差模型。

With the help of the Mountain-Pass Theorem lacking Palais-Smale compactness condition (PSc condition and by adoption of the best attained function of Sobolev embedding, the paper proves the existence of nontrivial solutions of two classes of critical biharmonic equations on boundary conditions by overcoming serial difficulties caused by loss of compactness due to Sobolev embedding.

本文借助于没有 PS 条件的翻山引理,并利用 Sobolev 嵌入的最佳达到函数,克服了由于 Sobolev 嵌入失紧性而带来的系列困难,证明了含临界增长的两类双调和方程边值问题非平凡解的存在性。

Under the most elementary conditions for backward stochastic differential equation introduced by Peng S., we put forward and prove a general converse comparison theorem.

在由彭实戈引入的倒向随机微分方程的最基本的条件下,提出并证明了一个一般的反比较定理。

In the forth chapter, by employing the comparison theorem in theory of difference equations together with pure analysis, we get sufficient conditions for permanence of a class of ratio-dependent discrete system.

第四章运用差分方程理论中的比较定理和纯分析的方法得到离散系统持久性的充分条件。

In this paper, we study the comparison theorem of backward doubly stochastic differ-ential equtions with continuous coefficient by Tanaka-Meyer formula.

利用Tanaka-Meyer公式研究了双重倒向随机微分方程在连续条件下的比较定理。

By using Floquet theory, Comparison theorem of impulsivedifferential equation and analytic method, we investigate the dynamics of thesystem in detail.

通过利用脉冲微分方程的Floquet理论和比较原理,证明了当脉冲周期小于某个临界值时,系统存在一个全局渐近稳定的害虫根除周期解,最后给出了系统持续生存的条件。3。

Based on Floquet theory and the comparison theorem of impulsive differential equation, the analysis of global asymptotic stability of the "infectionfree" periodic solution was given.

运用Floquet乘子理论和脉冲微分方程比较定理,证明了该周期解的全局渐近稳定性,并获得了系统一致持续生存的条件。

Based on the Winkler's foundation model and deformation compatibility condition of pile and soil, the horizontal displacement control equation of a single pile is established. According to the differential relations between the internal forces and displacements, the two-stage method is adopted to solve the equations.

针对此类问题,基于Winkler地基模型以及桩-土变形协调条件,建立单桩水平位移控制方程,根据内力与位移的微分关系,采用两阶段方法进行求解。

Based on the static balance among the pile and soil, the basic differential equations of the displacements of the pile and soil were deduced. Considering the compatibility condition of stress and strain , based on the vertical deformation of pile and pile-surrounding soil, the analytical formulas calculating the pile friction were drew.

本文通过建立复合地基中桩体和桩周土的基本微分方程,考虑应力协调条件,假设桩周土的位移模式,在此基础上推导出桩侧摩阻力和桩身轴力的解析式,并进一步研究相关影响因素。

2By constructing a completely continuous operator in a functional space and employing the cone compression and expansion fixed point theorems, we obtain some sufficient conditions which guarantee the existence of positive periodic solutions for Eq.

通过在一个函数空间构造一个全连续算子,再利用锥压缩锥拉伸不动点定理,得到了一些保证方程(1),(2)至少存在一个周期正解的充分条件,所得结论改进了文[1]和[6]中的结果。

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