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existence of solution
相关语句
  解的存在性
     Existence of Solution for the set -Valued system ,x ∈ F(x.y) ,y ∈ G(x,y)
     集值系统X∈F(x,y),y∈G(x,y)解的存在性
短句来源
     By making use of the equivalent norm and system of integral equations and Leray-Schauder fixed point theorem,the existence of solution and positive solution is considered for the sublinear third-order two-point boundary value problem u+f(t,u,u′)+g(t,u,u′)=0,u(0)=A,u′(0)=B,u′(1)=C.
     利用等价范数、积分方程组和Leray-Schauder不动点定理考察了半线性三阶两点边值问题u(t)+f(t,u,u′)+g(t,u,u′)=0,u(0)=A,u′(0)=B,u′(1)=C的解和正解的存在性.
短句来源
     Zimian question is essentially about the question of the existence of solution in Syracuse operator m m equation xi = S xi ( xi > 1). Erd?
     Zimian问题实质上是叙拉古算子方程 xi = S xi(xi >1)的解的存在性问题,Erd?
短句来源
     On Existence of Solution for the Set-Valued System x∈F(x,y),y∈G(x,y)
     关于集值系统x∈F(x,y),y∈G(x,y)解的存在性
短句来源
     This paper first presents the existence of solution to the equation φ (kn) = φ ( (k+1) n), (k = 1, 2, ...) according to the property of the Euler function, then proceeds to generalize it into the existence of solution to the equation φ (k1n) = φ (k2n) (both k1 and k2 being natural numbers).
     本文根据Euler函数的性质 ,给出了方程 φ (kn) =φ ((k +1 )n) ,(k =1 ,2 ,… )解的存在性 ,并推广到更为一般的结果 :方程 φ (k1n) =φ (k2 n) (k1,k2 均为自然数 )解的存在性
短句来源
更多       
  “existence of solution”译为未确定词的双语例句
     In this paper,the existence of solution for fourth-order twopoint boundary value problemu~((4))(t)=(t)f(u(t),u″(t)),t∈(0,1),u(0)=u″(0)=u(1)=u″(1)=0,is discussed.
     利用Krasnosel’skii渐近不动点定理得到四阶边值问题u(4)(t)=(t)f(u(t),u″(t)),t∈(0,1),u(0)=u″(0)=u(1)=u″(1)=0,至少存在一个解.
短句来源
     By using the variational method, we discuss the existence of solution of the boundary value problem-△pu=μQ(x)|u|p-2u+f(x,u), u∈D01,p(Ω), where Ω is an open set of RN, 10 and both functions Q and f may change sign.
     本文利用变分方法研究如下边值问题的可解性:-△pu=μQ(x)|u|p-2u+f(x,u),u∈D_0~1,p(Ω),其中Ω是RN中的开集,1
短句来源
     This paper studies the existence of solution of singularly perturbed nonlinear boundary problem for second order differential equation: ''(,,',),(,)(),(,)()y f t y y a t b y a A y b Bε ε ε ε ε ε?
     研究带有转向点的奇摄动非线性微分方程边值问题''(,,',),(,)(),(,)()y f t y y a t by a A y b Bεεεεεε?
短句来源
     The problem of solving the nonlinear mapping equation y0 E (S - T - qP-1)(x) is discussed, and some results about the existence of solution of this equation are obtained under several conditions.
     研究非线性映象方程y_0∈(S·T—q~(P-1))(x)的解问题,在一定条件下,得到了此方程解存在的一些结果.
短句来源
     Existence of Solution for Nonlinear OperatorEquations in MengerPN Spaces
     Menger-PN 空间中非线性算子方程的解
短句来源
更多       
  相似匹配句对
     THE EXISTENCE OF H X-RING
     H X环的存在性
短句来源
     Understanding of Existence
     存在的领悟
短句来源
     Existence and Challenger
     生存与挑战
短句来源
     Photography and Existence
     摄影与存在
短句来源
     T's solution.
     T解集中不出现空集;
短句来源
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This short paper investigates two aspects of Chew-Low equations. First, it is compared with the usual formal theory of scattering, for example, that developed by Moeller. In comparison, it is proved that the wave functions occuring in the two formalisms are identical, apart from a constant multiple which represents the scalar product of the wave functions of a bare nucleon and a dressed nucleon. Next, equations of Chew-Low type with two h functions both possessing discontinuities along real axis from 1 to ∝...

This short paper investigates two aspects of Chew-Low equations. First, it is compared with the usual formal theory of scattering, for example, that developed by Moeller. In comparison, it is proved that the wave functions occuring in the two formalisms are identical, apart from a constant multiple which represents the scalar product of the wave functions of a bare nucleon and a dressed nucleon. Next, equations of Chew-Low type with two h functions both possessing discontinuities along real axis from 1 to ∝ and from -1 to -∝ are investigated. It is shown that for the solution to exist, certain conditions on the crossing symmetry must be satisfied and that in certain special cases where the above condition is satisfied, existence of solutions requires the presence in the equations for h of an infinite number of terms representing intermediate discrete states.

这篇短文讨论了Chew-Low方程的二个问题。第一,我们将它与寻常的散射形式理论作一比较,证明了二个理论的波函数除去一个常数倍外,完全相同。这个常数倍即是物理核子及裸核子的波函数的内乘积。第二,我们讨论了一般的含有二个h函数的Chew-Low方程的解,方程的形式使它们在实轴上在(1,∞)及(-1,-∞)二段上不连续。我们证明了为使解存在,交叉对称必须满足某些条件,而即使这些条件已满足,在某些情形下解的存在要求原来的h的方程含有无穷多个代表中间分立态的项。

Let X denote a reflexive Banach space, X~* its dualspace. Let A, B betwo monotone mappings from X to 2~(X*). The purpose of this paper is to con-sider the relation between R(A + B) and R(A) + R(B), and by means of theresult on R(A + B) R(A) + R(B) to consider the existence of solution in Xon a class of nonlinenr integral equations of abstract Urysohn type: Defintion 1. Let X be a real Banach space, and A: X→2~* a monotonemapping. We say that A has the property(* ),if for every f∈R(A), y∈D(A),we have Definition...

Let X denote a reflexive Banach space, X~* its dualspace. Let A, B betwo monotone mappings from X to 2~(X*). The purpose of this paper is to con-sider the relation between R(A + B) and R(A) + R(B), and by means of theresult on R(A + B) R(A) + R(B) to consider the existence of solution in Xon a class of nonlinenr integral equations of abstract Urysohn type: Defintion 1. Let X be a real Banach space, and A: X→2~* a monotonemapping. We say that A has the property(* ),if for every f∈R(A), y∈D(A),we have Definition 2. Let A, B: X→2~* be two monotone mappings. We sayR(A + B) R(A) + R(B), if R(A+B)= R(A)+R(B), and IntR(A+ B) = Int[R(A)+ R(B)]. The following results are proved. Theorem 1. Let X be a reflexive Banach space,and A,B: X→2~(X~*) be twomonotone mappings such that their sum A + B is a maximal monotone mapp-ing. Suppose that B has the property(* ), and D(A) D(B), then R(A +B)R(A) + R(B). Theorem 2. Let X be a reflexive Banach spacc, F: X→2~* and K :X~*→2~X bemaximal monotone mapings, and D(F) = X, D(K) = X~*. Suppose that F orK has the property(* ), then for any. f∈X, the integral equation of Ham- u + KFu fhas at least one solution in X. Theorem 3. Let X be a reflexive Banach space, X~* its dual space.Suppose that each K_j: X~*→X is a maximal monotone mapping with the pro-perty(* ), and D(K_j) = X~*, j = 1, …n. Suppose further that each F_jX: →X~* ishemicontinuous, and that Vu_j, v_J∈X, j = 1,…n, satisfies the conditionwhere u= v=. Then the equation (1) has at least one solutionThen the equation (1) has at least one solutionin X for any v∈X. Theorem 4. Suppose conditions on X, X~*, K_j and F_j as mentioned intheorem 3. Furthermore, suppose that there exists a function C_1(u_1, …, u_n;v_1,…,v_n) for any u_1,… ,u_n; v_1,…v_n in X such that satisfies the conditionfor any w_j∈X, j= 1,…, n, then the equationhas at least one solution in X for any w∈X. Theorem 5. Let X be a Banach space,C~* its a dual space. Suppose thatK_j: X→X~* is a hemicontnuous operator which maps bounded sets into weaklycompact sets, where D(K_j)=X, j=1…, n. Furthermore, suppose there existsσ>0 such that for any triple of n- uiples [U_1~* ,…, U_n~*], [v_1~*, …,v_n~*], [w_1~*,…,w_n~*]in X, satisfies following condition whereu~*= v~*= w~*=. Then the equation u~*+ = w~*.has at least one solution in X~* for any w~*∈X*. Our theorems are generalizations of corresponding results belonging toH. Brezis and F.E. Browder in 1975, H. Brezis and Alain Haraux in 1976,C. P. Gupta in 1977, and P. Hess in 1971, respectively.

本文首先把H.Brezis和Alain Haraux关于Hilbert空间内两个单调映射之和值域的结果推广到自反Banach空间。然后用此结果研究一类Urysohn型非线性积分方程我们改进了H.Brezis和F.E.Browder的定理1,C.P.Gupta的定理4及定理5,及P.Hess[8]的结果。

In this paper,employing rigorous variational calculus,equations of control surface at maximum thrust nozzle exit are derived.The solutions of free and fixed boundary problems for a certain length are given.The condition of the existence of solution of functional extreme value problem applied to maximum thrust nozzle is also presented.

本文用严格的变分法导出了最大推力喷管出口控制面方程。并给出了在一定长度下,自由边界和固定边界问题的解。同时,还导出了最大推力喷管这个泛函极值问题解存在的条件。

 
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