给出了线性算子逼近球面函数的逼近阶。
The approximation estimates of spherical functions by linder operators are given.
我们研究含非稠定闭线性算子的积-微分方程。
Integro-differential equations with nondensely defined linear operators in Banach space was considered.
本文刻划了保矩阵范数的两类线性算子的结构。
本文研究积分双半群与有界线性算子双半群的关系。
The relationship between integrated bisemigroups and bisemigroups of linear bounded operators is investigated.
本文刻画了布尔代数上强保持交换矩阵对的线性算子。
In this paper, the linear operators that strongly preserve commuting pairs of matrices over are characterized.
同时也刻画了布尔代数上强保持交换矩阵对的线性算子。
And also we characterize the linear operators that strongly preserve commuting pairs of matrices over Boolean algebras.
本文主要研究概率度量空间中非线性算子的理论与应用。
In this thesis, some problems for nonlinear operators and their applications in probabilistic metric Spaces are studied.
该定义对研究拓扑空间中线性算子的拓扑内逆具有重要意义。
And this definition is very important for us to study the topological inner inverse for a linear operator in a topological Spaces.
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
The linear operators that strongly preserve invertible matrices over some antinegative commutative semirings with no zero divisors were characterized.
本文研究了乘积空间中非线性算子的极大极小不动点和迭代法。
In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product Spaces.
本文研究了几种典型的非线性算子的不动点问题及收敛性问题。
Fixed point problems and convergence problems of several typical nonlinear operators are studied in this thesis.
刻画了在非负无零因子交换半环上强保持可逆矩阵的线性算子。
Then T is an invertible linear operator preserving rank - partial ordering on Sn(F) if and only if there exists an invertible matrix (F) such that where .
在双倍测度下，次线性算子有界性问题的研究起到非常重要的作用。
For doubling measure, the boundedness of the sub-linear operator plays an important role in many problems.
结论算子范数对于估计有界线性算子乘积与和的谱半径是至关重要的。
Conclusion Norm of operator is very important to estimate the spectral radius of operator.
非饱和土中溶质迁移参数反演问题可以归结为非线性算子方程的求解问题。
Parameter inversion of solute transport inside unsaturated soils was generally solved through a nonlinear operator equation.
线性算子为紧线性算子必须且仅须它可由一列有限秩连续齐性算子一致逼近。
It follows that a linear operator is a compact linear operator iff it an be approximated uniformly by a sequence of finite rank continuous homogeneous operators.
运用L2空间上的线性算子理论，我们证明了这类算子存在至多可数个正的本征值。
By using linear operator theory in L2 space, we proved that the operators of this kind has not more than denumerable positive eigenvalues.
给出一种构造组合线性逼近算子的方法。由此可得到具有特殊逼近性质的线性算子。
A method to construct a kind of combinatorial linear approximation operators is given and some linear operators which have special approximation properties are obtained.
利用有界线性算子半群，引入了一新的局部凸向量拓扑，并对其基本性质进行了讨论。
By using the semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given.
结论推广了线性算子半群的范数连续性质保持，丰富和完善了非线性算子半群的理论。
The result derived extends persistence of norm continuity of linear strongly continuous semigroups and enriches theory of semigroups of nonlinear operators.
本文进一步研究了严格凸空间的性质，并给出了等距算子为线性算子的一个充分条件。
In this paper the properties of the strictly convex space are studied further. In the time this paper further gives a sufficient condition that isometric operator is linear operator.
该多项式的系数较为复杂，难以直接计算。我们引进了一个线性算子并研究了其性质。
Since the coefficient of the new polynomial is too complicate to calculate directly, we introduce a linear operator and study the algebraic properties of it.
对流一扩散方程中扩散系数反演问题，可以归结为一个特殊的非线性算子方程求解问题。
The problem of determining the diffusive coefficients can be formulated as one of solving a special nonlinear operator equation.
对半正定线性算子方程考虑了一类连续正则化牛顿方法，给出了收敛证明，得到了收敛率。
A convergence proof is given for the continuous analog of the Newton method for linear semi-positive definite operator equations and convergence rates are obtained.
然后运用线性算子的扰动理论和分歧解的稳定性理论证明出共存解在适当条件下是稳定的；
Second, some results of local stability for the coexistence solutions are obtained by the perturbation theorem for linear operators and the stability theorem for bifurcation solutions.
定理3X是囿空间的充要条件为：每个从X到Y的一致有界的线性算子族都是等度连续的。
Theorem 3 X is a bornologic space if and only if every uniformly bounded set of linear operators from X to Y is equicontinuous.
在传统规范形基础上，证明了只有线性算子值域补空间上的近恒同变换才能化简高阶规范形。
It is proved that only the transformations on linear operators' complementary subspace can be used to simplify high order normal form based on conventional normal form (CNF).
在传统规范形基础上，证明了只有线性算子值域补空间上的近恒同变换才能化简高阶规范形。
It is proved that only the transformations on linear operators' complementary subspace can be used to simplify high order normal form based on conventional normal form (CNF).
应用推荐