1) semi-partial-order
半半序
2) partial order
半序
1.
The method based on the partial order theory is used in this paper to study the solvability of an operator equation Lx=Nx in F-type topological space in which the -auxiliary order is introduced.
在引入-辅助序的F-型拓扑空间中,利用其相关性质,采用半序方法研究了一类算子方程Lx=Nx的可解性,证明了其解的存在性。
2.
The paper discusses how to apply-partial order to designing a new kind of sequence cryptography system.
讨论了半序在序列密码设计中的应用问题,给出了生成伪随机序列的详细算法和matlab实现。
3.
In Hilbert space we define a new partial order.
在实Hilbert空间中引入新的半序,从而导出实Hilbert空间中的几个新锥,讨论了几种不同的锥的性质,最后证明了几个不动点定理。
3) Partial ordering
半序
1.
Some aging criteria defined by Laplace ordering are generalized to the concept of random variable orderings which are partial orderings.
把用Ｌａｐｌａｃｅ序定义的几种寿命分布类推广到随机变量的半序的概念，并讨论了这样一些相应于寿命分布类的半序之间的关系，给出了在可靠性应用方面的解释。
4) semi-order
半序
1.
In this paper, with the semi-ordered theory as a basis,the iterative solutions for the Dirichlet problem of the elliptic equations in a Banch space are discussed by means of the upper and lower methods,which proves the existence of two iterative sequences converged uniformly resentfully to the minimun and maximun soluions of this problem.
以半序理论为工具，在Ｂａｎａｃｈ空间中用上下解方法研究了椭圆方程Ｄｉｒｉｃｈｌｅｔ问题的迭代解，并证明了存在两个迭代序列分别一致收敛于该问题的最小解和最大解。
2.
Under the assumption that every choice set is normal,the conditions so defined are proved to be sufficient to guarantee the quasi-transitive,pseudo-transitive and semi-order rationality of fuzzy choice functions but no longer to be necessary for the rationality,as is illustrated through an example.
在选择集为正规模糊集的假设前提下,得出模糊化以后的Schwartz条件仅仅是刻画模糊选择函数拟传递、伪传递及半序理性化的充分条件,同时用实例说明其不再是必要条件。
3.
By semi-order method the existence of couple quasi-solutions for a class of new nonlinear operator equations in Banach spaces is studied.
利用半序的方法,在Banach空间上研究了一类新的非线性算子方程。
5) partially order
半序
1.
With the partially ordered norm space and cone defined in paper of ZHANG Xian,we prove some random fixed point theorems of random increasing operators in Banach space.
利用张宪的文章在赋范线性空间中定义的半序及由半序引出的锥,证明了Banach空间中随机单调增算子的随机不动点定理,重点突破了算子在不连续情况下的可测性。
2.
By using the partially order and non-symmetry iteration method,this paper discusses the existence of coupling fixed point of random mixed monotone operators without compactness,and the astringency of iteration sequences.
在Banach空间中,利用半序关系和非对称迭代法讨论了缺乏紧性的随机混合单调算子的耦合不动点的存在性以及迭代序列的收敛性问题,在已知定理的基础上获得了随机混合单调算子的耦合不动点的唯一性及相关推论,所得结果是某些已知结果改进和推广。
6) semiorder
半序
1.
In this paper we define a new semiorder φ-semiorder in real Hilbert space,then discuss some basic properties of cone Pφ,t0 that induced by φ-semiorder at a bove foundation,at last we give several fixed point theorems of mixed monotone operator in this semiorder.
该文定义了实Hilbert空间H中的一个新半序-φ半序,然后在此基础上讨论了由φ半序导出的锥P,φt0的若干基本性质,最后给出了在这种半序下混合单调算子的几个不动点定理。
2.
In this paper,by means of semiorder theory we discuss continuous decr easing operators without any convexity or concavity.
该文利用半序理论讨论了无凸凹性的连续减算子，在较弱的紧性条件下，得到了非 线性算子的不动点的存在唯一性和迭代收敛性，并将所获结果应用于常微分方程两点边值问 题。
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