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open bounded subset
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  有界开集
     Let X and Y be two Banach spaces, an open bounded subset of X,A and T two multivalued mappings from into Y. In this paper the definition that T is A-ultimately compaot is given and a generalized degree for A-ultimately compact vector field(A-T) when A is A-proper,is established.
     设X和Y是Banach空间,Ω是X中的有界开集,A和T是两个从Ω到Y的集值映射,本文中给出了T为A-终归紧映射的定义,并当A为A—proper映射时建立了A-终归紧向量场(A—T)的广义度.
短句来源
     et E be a reflexive Banach Space,T: be maximal monotoneand satisfy f∈T_x, where Ω is an open bounded subset of E and0∈Ω∩D(T),then T has a zero point in Ω∩D(T).
     设E是自反Banach空间,极大单调满足其中Ω为E中有界开集且0∈Ω∩D(T),则T在中有零点.
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     This paper deals with a quasilinear doubly degenerate parabolic equation with measures as data: (|x|u)l- div(|x|v |Du|p-2Du) =μ, where μ∈M(Q) = [Cc(Q)](set of Radon -measures), Q = (0, T)×Ω,Ω is an open bounded subset of RN, 0∈Ω;
     研究在Radon测度下一类双重退化抛物型方程(|x|νu)t-div(|X|v|Du|P-2Du)=μ.其中μ∈M(Q)=[Cc(Q)](Radon测度集),Q=(0,T)×Ω,Ω是中的有界开集且O∈Ω;
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     The existence of infinitely many solutions for the p Laplace Dirichlet problem is dealt with, - div (|u| p-2 u)=λ|u| q-2 u+μ|u| α-2 u,u∈W 1,p 0(Ω), when λ>0 or μ>0 , where Ω is an open bounded subset in R N and 1
     证明了当λ>0或μ>0时p-LaplaceDirichlet问题-div(|u|p-2u)=λ|u|q-2u+μ|u|α-2u,u∈W1,p0(Ω)无穷多解的存在性,其中Ω是RN中的有界开集,1<q<p<α<p*.
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  “open bounded subset”译为未确定词的双语例句
     Our purpose is to study the existence of fixed points of T1 +T2, where T : D X-X are S-set-contractions (i=l, 2), k1 + k2 oD is a open bounded subset in X.
     本文研究了映射T_1+T_2的不动点存在性,其中Ti:(?)
短句来源
     When the speed of the flow is slower and the viscosity is larger, the convection term p(u ·V)u in the general non-homogeneous incompressible Navier-Stokes equations may be neglectedwhere Ω is an open bounded subset of R3 with a smooth boundary.
     当流体速度较慢或粘性较大时,一般非齐次不可压Navier-Stokes方程组中的传输项(convection term)ρ(u·▽)u可忽略掉。 本文考虑如下忽略掉传输项的非齐次不可压Navier-Stokes方程组的Dirichlet问题
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  相似匹配句对
     open;
     评价的开放性问题;
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     Let ΩR n be a bounded open set.
     设Ω Rn是一个有界区域 .
短句来源
     Open Season
     狩猎季节 一只马戏团棕熊与独角麋鹿的丛林爆笑生活
短句来源
     A TOPOLOGICAL PROPERTY OF BOUNDARIESOF BOUNDED OPEN SETS IN PLANE
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     On Bounded Change
     界变"论——关于现代汉语"了"及其相关现象
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  open bounded subset
We consider the nonlinear heat equation (with Leray-Lions operators) on an open bounded subset of RN with Dirichlet homogeneous boundary conditions.
      
We consider a Neumann problem of the type -εΔu+F'(u(x))=0 in an open bounded subset Ω of Rn, where F is a real function which has exactly k maximum points.
      
We consider the spaceL(D) consisting of Lipschitz continuous mappings fromD to the Euclideann-space ?n,D being an open bounded subset of ?n.
      
SupposeU is an open bounded subset of 3-space such that the boundary ofU has Lebesgue measure zero.
      
Let be an open bounded subset of with Lipschitz continuous boundary.
      
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Let X and Y be two Banach spaces, an open bounded subset of X,A and T two multivalued mappings from into Y. In this paper the definition that T is A-ultimately compaot is given and a generalized degree for A-ultimately compact vector field(A-T) when A is A-proper,is established.A number of A-fixed point theorems have been-obtained by using the degree.

设X和Y是Banach空间,Ω是X中的有界开集,A和T是两个从Ω到Y的集值映射,本文中给出了T为A-终归紧映射的定义,并当A为A—proper映射时建立了A-终归紧向量场(A—T)的广义度.用这个度理论得到了若干A-不动点定理。

Our purpose is to study the existence of fixed points of T1 +T2, where T : D X-X are S-set-contractions (i=l, 2), k1 + k2 oD is a open bounded subset in X. From this result, we derive the solvability of y + Tx = x in D, where T: D-X is condensing, and I - T: I-X is surjective. We also obtain the necessary and sufficient conditions of the solvability of y+Tx=x in X, where T:X-X is condensing.

本文研究了映射T_1+T_2的不动点存在性,其中Ti:(?)是k_i集压缩(i=1,2),k_1+k_2≤1.由此引出方程y+Tx=x的可解性和I—T的满值性结果。还得到方程y+Tx=x有解的一(?)充要条件.

et E be a reflexive Banach Space,T: be maximal monotoneand satisfy f∈T_x, where Ω is an open bounded subset of E and0∈Ω∩D(T),then T has a zero point in Ω∩D(T).

设E是自反Banach空间,极大单调满足其中Ω为E中有界开集且0∈Ω∩D(T),则T在中有零点.

 
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