Fredholm
英
美
n. 弗雷德霍尔姆
双语例句
- Solution to the Fredholm Integral Equation in Geophysical Inversion by Walsh Function
地球物理反演中积分方程的沃尔什函数解法 - Solution to Fredholm Integral Equation of the First Kind by Using Legendre Multi-wavelets
第一类Fredholm积分方程的Legendre多小波解法 - As an important fundamental concept in generalized functional and analytical operator theory, Fredholm operator has been used in differential coefficient equations and other fields. It is of vital importance for the research of space classification and dimensions.
Fredholm算子是泛函分析算子理论中的一个基本且重要的概念，在偏微分方程等学科方面有重要的应用，在对空间的分类和维数的研究中起着关键的作用。 - It proves the existence and uniqueness of the direct transmission problem by potential theory and Fredholm theorem.
利用位势理论和Fredholm定理，也证明了相应的正传输问题解的存在和唯一性。 - By using the multiple-scale method, one of the perturbation methods, we obtain a series of equations from Euler Equation. Modulation equation is given by using the Fredholm's theorem on these equations.
首先从Euler方程出发使用多重尺度方法导得了一系列递推方程，然后利用可解性条件求得了调制方程。 - By using the Fredholm theorem and the comparison principle, the extremal solutions of first order integro-differential equation are obtained with lower and upper solutions in the reverse order.
研究了一阶积分微分方程的周期边值问题，在反向上下解的条件下，利用Fredholm定理和比较原则得到其极解的存在性。 - This theorem gives the existence theorems of solutions for the systems of nonlinear Fredholm and volterra integral equations in Banach spaces. An existence theorem of extremal solutions and a comparison theorem for the system of nonlinear Volterra integral equations are obtained as well.
利用这个定理，我们给出了Banach空间中非线性Fredholm和Volterra积分方程组解的存在性定理，也获得了非线性Volterra积分方程组极值解的存在定理和比较定理。 - The Matrix Riccati Equations and the Linear Fredholm Integral Equations
矩阵Riccati方程与线性Fredholm积分方程 - The paper uses wavelet compression algorithm to realize the compression and order-reducing solution of large-scale Fredholm integral equation.
本文采用小波压缩算法实现了大型弗雷德霍姆积分方程的压缩与降阶求解。 - Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one value in a specific open ball.
给出了在K上的任意两个Banach空间之间，Fredholm映射在一个特定的开球中，至少有一个共同值的充分条件。 - The paper demonstrates that using rationalized Haar wavelet for solving linear Fredholm integral equation of the second kind.
为了解第二类Fredholm积分方程，建立了一种使用有理化Haar小波解第二类Fredholm积分方程的算法。 - According to Fredholm's theorem, this paper proves that due to the virtual fundamental loads-which satisfy the boundary conditions and being distributed outside the elastic body occupied region, the displacement and the stress fields in the elastic body occupied region are unique.
根据Fredholm定理，本文证明了由满足边界条件的分布于弹性体所占的区域之外的虚的基本载荷引起的弹性体所占的区域之内的位移和应力场是唯一的。 - In this paper, we construct a Fredholm module by using singular integral operators theory with the quaternionic Cauchy kernel and C~-algebra theory.
运用四元数Cauchy核奇异积分算子理论和C代数理论，建立了一个Fredholm模结构。 - The solving of problem is transformed to solving the first kind Fredholm integral equation. The Tikhonov regularization method is used to solve the ill-posed integral equation problem. Based on the conditional stability, a stabilized algorithm is presented.
该问题可转化为第一类Fredholm积分方程的求解，为了克服该问题数值求解的不适定性，采用Tikhonov正则化策略进行求解，并基于条件稳定性进行了算法设计。 - The function-valued Pad é-type approximant is defined by using introducing a function-valued linear functional on polynomial space, then it is applied to solve the second kind of Fredholm integral equations.
本文首次在多项式空间上引入了一种线性泛函，从而定义了一种函数值Padé-型逼近（FPTA），并将它应用于求解第二类Fredholm积分方程。 - Using Hankel and Abel integral transforms, the problem is reduced to a set of second kind Fredholm integral equations. The scattered displacement is derived in the form of integral expressions.
文中应用Hankel积分变换和Abel变换，将问题最后归结为求解一组第二类Fredholm积分方程，并导出了用积分形式给出的散射位移场表达式。 - A: X → Y is bounded linear Fredholm operator with zero index.
A：X→Y是零指标Fredholm有界线性算子。 - An equivalent condition on stable convergence of operator-valued function in Banach space is given, and invertibility of Fredholm element in Banach algebra is discussed.
给出了Banach空间上算子值函数稳定收敛的一个等价条件，并且讨论了Banach代数中Fredholm元的可逆性。 - To solve Fredholm integral equations of the second kind, a linear operator is introduced from a polynomial space to a function-valued space. Function-valued Pad é-type approximation is then defined.
该文引入了一种从多项式空间到函数空间线性算子，从而定义了函数值Padé-型逼近来求解第二类Fredholm积分方程。 - The ill posed problem can be converted into the first Fredholm integral equation; and an algorithm of inversion is given using the Tikhonov's regularization method.
把此反问题转化为第一类Fredholm积分方程，并利用Tikhonov正则化方法给出了一种反演算法。 - The approximate solution for the transmitted and reflected waves wave at the vertical wall of the step is obtained by using the methods of the matched-asymptotic expansion and the Green function and some mathematical tech technique such as the conformal mapping theory and the singular Fredholm integral equation theory.
通过匹配渐近展开和格林函数的方法，借助保角交换和求解奇异Fredholm积分方程的技巧，获得了两层流体系统中弱非线性内波在台阶直壁处反射和透射的近似解。 - By reasonably increasing the quantity of preys and decreasing the quantity of predators, a prior bound is obtained and a new Fredholm operator is defined. At last, a group of sufficient conditions for the existence of periodic solution is given.
通过适量地增加食饵和适度减少捕食者的数量，找到了先验界，定义了一个新的Fredholm算子，得出了脉冲捕食与被捕食系统周期解存在的充分条件。 - The Fredholm integral equation of the second kind is established in the Laplace transform domain in order to obtain the consolidation displacement of the elastic plate. Laplace transform solutions are converted to time domain solutions by numerical methods. The numerical results useful to engineering practice are given.
在Laplace变换域上建立了求解弹性圆板固结位移的第二类Fredholm积分方程，由数值反变换获得时域解，给出了对工程实践有参考价值的计算结果。 - The method for solving the system of Volterra-Fredholm integral equation
Volterra-Fredholm型积分方程组的求解方法 - The method using bivariate wavelet function to solve the first class bivariate Fredholm integral equation is researched.
并研究了用二维小波函数求解第一类二维Fredholm积分方程的方法。 - It is found that the Fredholm equation should be solved numerically because of the nonstationarity of the covariance function.
研究结果表明：在条件模拟中，由于降雨协方差具有非平稳结构，需要采用数值解法来求解Fredholm方程； - The interface crack problem is also reduced to solve a set of the first kind of Fredholm integral equations by the conjunction method and the crack-division technique. Dynamic stress intensity factors of the crack-tip can be contained in the integral equations by a substitution.
对于界面裂纹问题，同样采用契合思想和裂纹切割技术将问题简化为求解一组第一类Fredholm积分方程，并通过代换使其直接包含裂纹尖端的动态应力强度因子。 - For pure isometry with finite multiplicity, we establish an interesting relation between this invariant and Fredholm index.
同时对有限重的纯等距而言，我们建立了这个不变量与Fredholm指标的联系。 - There are a lot of ill-posed problems in physics, biology, medicine, geology and engineering technology. For example, parameter identification problems, nonlinear ill-posed Hammerstein integral equation, the solution for the first kind of Fredholm integral equation and so on.
在物理、生物、医学、地质和工程技术领域都存在着大量的不适定问题，比如参数识别问题、非线性不适定Hammerstein积分方程以及求解第一类Fredholm积分方程等。