查询词典 unbounded operator

On the other hand, we make certain study to the nonwandring property of bounded, unbounded operator semigroups ,and give out concrete application.By the theory of semigroups, we establish if {T_n}_(n≥1) is a bounded linear operator sequence onBanach space X_n converging in the sense of Kato to a bounded operator T on theBanach space X , then their nonwandering property can be inherited by each other under the appropriate conditions.

另一方面，本文对有界和无界算子半群的非游荡性也作了特别的研究，并给出了一些具体的应用；利用半群理论，还证明了算子在Kato意义下逼近时，二者之一的非游荡性可被另一个所保持；并得到了几个相应的结果。

In the second chapter, the KDV type equation on unbounded domain is considered. Applying with the method of decomposing operator and the theory of constructing some compact operator in weighted space, the existence of exponential attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的KDV型方程，得到了该方程指数吸引子的存在性。

In the second chapter, the suspension bridge equation on unbounded domainR1 is considered. Applying with the method of decomposing operator and thetheory of constructing some compact operator in weighted space, the existenceof global attractor is obtained.

在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了该方程在无界区域R1上的情形，得到了其全局吸引子的存在性。

Different from the former study,the value region of projective operator in the neural network which they study was a general closed convex subset of n demensional Euclidean space and it wasn't a compact convex set in general,that is,the value region of projective operator was probably unbounded.

与以前研究投影算子的值域一般是n维欧氏空间中的紧凸子集不同，而是n维欧氏空间中未必有界的闭凸子集，同时目标函数也是一般的连续可微函数，未必为凸函数。

Different from the former study, the value region of projective operator in the neural network which they study was a general dosed convex subset of n demensional Euclidean space and it wasn＇ t a compact convex set in general, that is, the value region of projective operator was probably unbounded.

与以前研究投影算子的值域一般是n维欧氏空间中的紧凸子集不同，而是n维欧氏空间中未必有界的闭凸子集，同时目标函数也是一般的连续可微函数，未必为凸函数。

One of the important classes is Pritchard-Salamon system with unbounded admissible input operator and output operator. Keulen[4]and Curtain[5] has finished excellent work, but they added smooth condition when they transform the solution of H∞-Control into solving two algebraic Riccati equations.

其中重要的一类是具容许无界输入和输出的Pritchard-Salamon系统，这方面已有Keulen[4]，Curtain[5]等人的工作，不过他们在将次最优H_∞-控制器存在问题转化为相应Riccati方程解的存在问题时附加了"光滑性条件"。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。