因此，可获得局部解的存在性。
由于使用格林函数法求局部解析解，提高了计算精度。
Because of the use of Green - function method to solve local analytic solution, its accuracy is increased.
主要运用能量方法及稳定集和不稳定集的观点，研究一类半线性抛物方程的整体解和局部解的存在性及爆破问题。
In this paper, we are concerned with the existence of global solutions or local solutions and blowup of one kind of semilinear heat equation.
应用裂纹顶端应力场的精确解，详细讨论了混凝土裂纹顶端的微裂区，并将其与局部解所得的结果进行了比较；进而研究了因应力松驰引起的微裂区的改变。
The microcrack zone concrete is deeply analyzed by using the exact solution of crack tip stress field and is compared to the result from the local solution.
与非自洽的局部激波解相比，两者的定性特征相似，但定量结果有较大差别。
The features of local shock wave solution without gaseous self-gravitation are similar qualitatively but different quantitatively with the results of this paper.
利用已得到的三维轴对称问题的非局部弹性应力的解，采用级数近似展开的方法，求解环状裂纹的边值问题。
Solves the problem of boundary value on an annular crack by using the nonlocal stress solution of an axisymmetric crack problem and approximative method of series expansion.
标准遗传算法在解决旅行商问题时效率不高，容易陷于局部最优解。
Traditional genetic algorithms have low efficiency and tend to be trapped by local optimizations.
标准的粒子群优化算法作为一种随机全局搜索算法，因其在种群中传播速度过快，易陷入局部最优解。
The standard particle swarm optimization algorithm as a random global search algorithm, because of its rapid propagation in populations, easily into the local optimal solution.
为局部超声速区解的稳定，采用人工密度修正。
An artificial density correction is used for the stability on local supersonic region.
传统的优化方法，即所谓的确定性优化方法的突出缺陷是容易陷入局部最优解。
That they are easy to fall into a local optimum is the shortcoming of conventional optimization methods.
另外，该算法可有效避免陷入局部最优，也不要求提供初始可行解。
Otherwise, the hybrid algorithm can avoid trapping in local optimum and does not need initial feasible solution.
该算法将局部最优解视为抗原，设计了对应的抗体产生机制。
The given algorithm regarded local optimal solution as antigen, and corresponding antibody generating system was designed.
但是如果正反馈应用不得当，也会出现搜索时间过长或陷入局部最优解的情况。
But if the positive feedback is not proper, it will take longer time on searching or easily running into the local optimization solution.
文中证明了该问题古典解的局部存在性、整体存在性和唯一性。
The local existence, the global existence and the uniqueness of a classical solution of this problem are proved.
它不仅对样本的输入顺序敏感，可能产生局部最优解，而且受孤立点的影响很大。
Not only is it sensitive to the order of sample data, but also it may make out the local excellent and be affected by the outliers.
通过合理控制计算量，得到了微分方程近似解的局部截断误差的估计。
The local truncated error estimation of the approximately solution could be obtained with reasonable computational cost.
给出了跳坑策略以跳出局部最优解并且将搜索引向有希望的方向。
A jumping strategy is proposed to jump from local optimal solution and guide the search in promising directions.
以能量解耦指标为目标函数对汽车动力总成悬置系统进行优化是一个有许多局部最优解的优化问题。
Optimization for a proper engine mounting system taking the energy distribution target as an object function is an optimum topic that has many local optimization methods.
证明了同伦映射为正则映射的条件下，选取合适的同伦方程，用此同伦方法得到的K-K-T点一定是问题局部最优解。
We prove that when the homotopy map is a regular map, the K-K-T point obtained from this homotopy method must be a local optimal solution by choosing proper homotopy equation.
但在试验中发现普通遗传算法存在收敛速度较慢且容易陷入局部最优解等问题。
However, drawbacks of slow convergent speed and sometimes just getting local optimum solution are found by tests when common GA technology is applied.
由此得出了判别重特征线性偏微分算子亚椭园性和局部可解性的若干充分条件。
From this, we obtain some sufficient conditions for hypoellipticity and local solvability of those operators.
基本思想是首先利用圆盘状单裂纹之解以及局部坐标展开法将裂纹群问题化为求解一组线代数方程。
The basic idea is to use the single crack solution and the expansions of the local coordinates to reduce the complicated problem into a set of linear algebraic equations.
然后利用压缩映象原理方法，证明了方程局部广义解的存在唯一性；
Secondly, the existence and uniqueness of the generalized local solution is obtained using the contraction mapping principle.
算法包括选择、扩展和突变操作，扩展和突变操作分别在解空间中局部和全局范围内搜索最优解。
The algorithm includes selection, expansion and mutation operations, expansion is used for local search and mutation is used for global search in solution space.
目的观察实验性膝关节退行性变模型一氧化氮（NO）、内皮素（ET）的变化及局部松解对其影响。
To observe experimentally NO and ET change of knee joint degeneration model and the effect of the local loosening therapy.
用这种方法可以有效逼近解的局部极小点，但不一定能得到最佳解或最佳的分辨率。
This method can approach local extreme value available, but it is not the optimal solution or optimal resolution.
用这种方法可以有效逼近解的局部极小点，但不一定能得到最佳解或最佳的分辨率。
This method can approach local extreme value available, but it is not the optimal solution or optimal resolution.
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