1) resolvent operator
预解算子
1.
Range structure for the resolvent operator of the generator of a generalized infinite particle system with zero range interactions;
广义零程粒子系统预解算子的值域结构
2.
A new iterative algorithms to approximate the solution of the class of nonlinear implicit quasi variational inclusions in Banach space is constructed using resolvent operator.
利用预解算子技巧,建立了一个迭代算法,导出收敛于上述变分包含问题的解的序列。
3.
This paper studies the locally bounded property of a generalized infinite particle system with zero range interactions and the dissipation of the resolvent operator of the system generator.
研究了广义零程粒子系统生成元的局部有界性和系统生成元预解算子的局部散逸性。
2) resolvent positive operator
预解正算子
1.
In an ordered Banach space,a generation theorem,about increasing integrated semigroups of strong-contractions,is obtained in terms of resolvent positive operators and dissipative operators.
在序Banach空间中,用耗散算子和预解正算子刻画增加积分算子半群;给出了增加的强压缩积分算子半群的生成定理,发展了近期关于增加积分算子半群的相关结果。
3) implicit resolvent operator
隐预解算子
1.
In this paper, the authors study the existence of solution for a system of generalized nonlinear variational inequalities with implicit resolvent operator technique.
运用隐预解算子技巧研究了一类含参广义非线性变分不等式组解的存在性,在一定条件下,得到了这类含参广义非线性变分不等式组解连续与参数的关系。
2.
A new class of completely generalized mixed strongly nonlinear variational inclusions are introduced and studied in Hilbert space, implicit resolvent operator technique is used to study solution analysis of these variational inclusions.
引入并研究了Hilbert空间中一类新的完全广义混合强非线性变分包含,利用改进的隐预解算子技巧分析了此变分包含的解的灵敏性,所得结果改进并推广了以往相应结果。
3.
In this paper,the authors introduce and study a class of new generalized nonlinear implicit quasivariational inclusions in Hilbert spaces,and use the implicit resolvent operator technique to study the sensitivity analysis for them.
引入和研究Hilbert空间中一类新的广义非线性隐拟变分包含,并用隐预解算子技巧分析了其解的灵敏性。
4) Left-vesolvent operator
右预解算子
5) Resolvent operator family
预解算子族
1.
Let k∈C(R +), A be a closed linear densely defined operator in the Banach space X and {R(t)} t≥0 be an exponentially bounded k-regularized resolvent operator family generated by A.
设 k∈ C( R+ ) ,A是 Banach空间 X中的闭稠定线性算子 ,且 A生成一个指数有界的 k -正则预解算子族 R( t) 。
6) Lefe resolvent operator
左预解算子
补充资料：凹算子与凸算子
凹算子与凸算子
concave and convex operators
凹算子与凸算子「阴~皿d阴vex.耳阳.勿韶;.留叮.肠疽“‘.小啊j阅雌口叹甲司 半序空间中的非线性算子，类似于一个实变量的凹函数与凸函数. 一个Banach空间中的在某个锥K上是正的非线性算子A，称为凹的(concave)(更确切地，在K上u。凹的)，如果 l)对任何的非零元x任K，下面的不等式成立: a(x)u。(Ax续斑x)u。，这里u。是K的某个固定的非零元，以x)与口(x)是正的纯量函数; 2)对每个使得 at(x)u。续x《月1(x)u。，al，月l>0，成立的x‘K，下面的关系成立二 A(tx))(l+，(x，t))tA(x)，0
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参考词条