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bounded open set
相关语句
  有界开集
    R~n(n> 3) will be either R~n, or a bounded open set with smooth boundary,which contains the origin, A, a are real parameters, f ∈ C(R~+, R~+).
    R~n(n≥3)是R~n,或是包含原点的具有光滑边界的有界开集,后一种情况补充零边界条件. λ,α是实参数,f:R~+→R~+是连续函数.
短句来源
    As a model, We consider the following initial-boundary Value problem Where Ω is a bounded open set in R~n, D≡(0 ,T)×Ω,Γ=(0,T)×(?)
    作为一个模型,考虑下面始值一边值问题其中Ω是在R~n中的有界开集,D=(0,T)×Ω,Γ=(0,T)×(?) Ω,0<T<∞,n是在Γ上外法向。
短句来源
    Let F be a wedge in a real Banach Space X and DX be a bounded open set. Suppose that A:_F→CK(F) be u.
    设F件实Banach空间X中的楔形,DX是有界开集,A:_F→CK(F)是u.
短句来源
    Let X be a real Banach space, D X a bounded open set with 0 D, K X a cone.
    设X是一实Bomach空问,DX是含0点的一有界开集,KX是一个锥.
短句来源
    In this paper is the concept of a u0 ordered bounded open set introduced. By virtue of the fixed point index for the completely continuous operator on an unbounded set, the fixed point theorem of cone expansion and compression for the completely continuous operator on an unbounded set is proved in semiordered Banach spaces.
    通过引入u0序有界开集的概念,利用无界集上全连续算子的不动点指数,在半序Ba-nach空间中,证明了无界集上全连续算子的锥拉伸与锥压缩不动点定理.
短句来源
  “bounded open set”译为未确定词的双语例句
    Consider a class of quadric increasing triangular parabolic equation systems of the form fk(z, u, Du), where 1≤K≤N, z=(x, t)∈Ω×(0, T) Rn+1 and Ω is a bounded open set in Rn It is shown that the weak solutions of the class of quadric increasing triangular parabolic equation systems are partial Holder continuous under the certain condition, which generalizes the relative results in literature.
    考虑一类二次增长的三角形抛物方程组 Akjαβ(z,u)=0,当j>k时,k=1,2,…,N, z=(x,t)∈Ω×(0,T) Rn+1证明其弱解是部分Holder连续的,这一结果把有关文献的结果向前推进一步.
短句来源
    (H) Let D be a symmetric bounded open set in 1Rn containg the origin and f:D→1Rn an even continuous mapping(f(x)=f(-x), for all x∈D)with o f(D).
    R~n是有界对称含0的开集,f:D→R~n是连续偶映射(f(x)=f(-X),(?) X∈D)使O(?)
短句来源
    Let ΩR n be a bounded open set.
    设Ω Rn是一个有界区域 .
短句来源
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Motivated by the odd mapping theorem, we show in this paper that Brouwer's degree of the even continuous mappings is an even number,i.e. the even mapping theorem.(H) Let D be a symmetric bounded open set in 1Rn containg the origin and f:D→1Rn an even continuous mapping(f(x)=f(-x), for all x∈D)with o f(D).The main results are as follows:1° If the condition (H) is satisfied, then deg(f,D,0) is an even number.2° Suppose the condition (H) is satisfied and the dimension of 1Rn is an odd number, and f(x)+(λ-1)x...

Motivated by the odd mapping theorem, we show in this paper that Brouwer's degree of the even continuous mappings is an even number,i.e. the even mapping theorem.(H) Let D be a symmetric bounded open set in 1Rn containg the origin and f:D→1Rn an even continuous mapping(f(x)=f(-x), for all x∈D)with o f(D).The main results are as follows:1° If the condition (H) is satisfied, then deg(f,D,0) is an even number.2° Suppose the condition (H) is satisfied and the dimension of 1Rn is an odd number, and f(x)+(λ-1)x o for all x D and λ>1. Then f has zero point at some point of δD.3° There is y∈D and λ>0(orλ <0) such that f(y)= y. if the condition (H) is satisfied and the dimension of 1Rn is an odd number.Moreprer, we discuss the totally even mapping in the above way. A mapping f:D→ 1Rn is called totally even, iffor all (a1,… ,an) ∈ δn(0,1) , where δn (0,1)= { (a1 ,… ,an)|ai = o or 1 for i∈ { 1,2,…,n} .

受奇映射定理的启发,本文证明了连续偶映射的Brouwer度为偶数,即偶映射定理.(H)设D(?)R~n是有界对称含0的开集,f:D→R~n是连续偶映射(f(x)=f(-X),(?)X∈D)使O(?)f((?)D)有如下主要结果:1~0如假设(H)满足,则deg(f,D,0)是偶数.2~0如假设(H)满足,R~n的维数n为奇数且f(x)+(λ-1)x≠0,(?)x∈D和λ>1,则f在(?)D上必有零点.3~0如假设(H)满足但R~n的维数n为奇数,则存在y∈(?)D和λ>0(或λ<0)使f(y)=λy.我们进一步按上述内容对全偶连续映时进行了讨论.映射f:D→R~n是全偶的,只要f((-1)~(a1)x_1,…(-1)~(an)x_n)=f(x_1,…x_n),(?)(a_1,…a_n)∈δ_n(0,1),这里δ_n(0,1)={(a_1,…,a_n)|a_i=0或1,(?)i∈{1,2,…,n}}.

In this article, We consider the quenching problem for quasi-linear parabolic Systms. As a model, We consider the following initial-boundary Value problem Where Ω is a bounded open set in R~n, D≡(0 ,T)×Ω,Γ=(0,T)×(?), 0=B. Conditions under which quenching occurs in finite time and the condition for the existence of global solution are given.

在这篇文章中,我们考虑拟线性抛物方程组熄灭问题。作为一个模型,考虑下面始值一边值问题其中Ω是在R~n中的有界开集,D=(0,T)×Ω,Γ=(0,T)×(?)Ω,0

In this article, We consider the quenching problem for quasi-linear parabolic Systms. As a model, We consider the following initial-boundary Value problem Where Ω is a bounded open set in R~n, D (0, T×Ω,Γ=(0,T)×(?)Ω, 0< T<∞, n is outward normal derivative on Γ, ε_1, ε_2, A, B are positive numbers, f_1(u, v), f_2(u, v) have singularity at u=A, v=B. Conditions under which quenching occurs in finite time and the condition for the existence of global solution are given.

在这篇文章中,我们考虑拟线性抛物方程组熄灭问题,作为一个模型,考虑下面始值一边值问题其中Ω是在R~n中的有界开集,D≡(0,T)×Ω,Γ=(0,T)×(?)Ω,0

 
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