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existence of solutions
相关语句
  解的存在性
     The existence of solutions to differential-iterative equations x"(t)=sum(ai(t)fi(x~()(t))) from i=1 to n
     迭代微分方程x"(t)=sum(ai(t)fi(x~()(t))) from i=1 to n解的存在性
短句来源
     In this paper we study the existence of solutions of singular ordinary differential equation ψ(t)y″=φ(t,y,y′) which satisfies the nonlinear boundary value conditions g(y(0) ,y′(0))=0, h(y(1),y′(1)) = 0 and the periodic boundary value conditions y(0)=y(1), y′(0)=y′(1).
     本文研究了奇性常微分方程ψ(t)y″=φ(t,y,y′)满足非线性边值条件g(y(0),y′(0))=0,h(y(1),y′(1))=0和周期边值条件y(0)=y(1),y′(0)=y′(1)的解的存在性
短句来源
     We consider the existence of solutions for the nonlinear third-order three-point boundary value problemx(t)=f(t,x,x′,x″),t∈x(0)=0,x′(ξ)=x′(1)=0,ξ∈[0,1)where f:×R~3→R is continuous,and satisfies barrier strips conditions.
     在障碍带条件下研究非线性常微分方程三阶三点边值问题x(t)=f(t,x,x′,x″),t∈[0,1]x(0)=0,x′(ξ)=x′(1)=0,ξ∈[0,1)解的存在性,其中f:[0,1]×R3→R为连续函数。
短句来源
     By using Leray Schauder's principle,the existence of solutions to a singular second order m-point boundary value problems under f:×R2→R be a function satisfying Carathéodory's conditions and,(1-t)e(t)∈L1(0,1),a(t)∈L1 be given.
     运用Leray-Schauder原理,在f:[0,1]×R2→R满足Carathéodory条件且(1-t)e(t)∈L1(0,1)时,讨论了一类奇异二阶m-点边值问题解的存在性.
短句来源
     Existence of solutions for QEP(T,A,f) in topological spaces
     拓扑空间中关于QEP(T,A,f)平衡解的存在性定理
短句来源
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  “existence of solutions”译为未确定词的双语例句
     Existence of Solutions of an m-point Boundary Value Problem for Second Order Ordinary Differential Equations
     Existence of Solutions of an m-point Boundary Value Problem for Second Order Ordinary Differential Equations
短句来源
     A NOTE ON REGULARITY AND EXISTENCE OF SOLUTIONS FOR A CLASS OF NON-UNIFORMLY DEGENERATE ELLIPTIC EQUATIONS
     A NOTE ON REGULARITY AND EXISTENCE OF SOLUTIONS FOR A CLASS OF NON-UNIFORMLY DEGENERATE ELLIPTIC EQUATIONS
短句来源
     ON THE EXISTENCE OF SOLUTIONS TO D'-VALUED STOCHASTIC DIFFERENTIAL EQUATIONS INVOLVING EVOLUTION DRIFT
     ON THE EXISTENCE OF SOLUTIONS TO D'-VALUED STOCHASTIC DIFFERENTIAL EQUATIONS INVOLVING EVOLUTION DRIFT
短句来源
     EXISTENCE OF SOLUTIONS OF NONLINEAR TWO AND THREE-POINT BOUNDARY VALUE PROBLEMS FOR FOURTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS
     EXISTENCE OF SOLUTIONS OF NONLINEAR TWO AND THREE-POINT BOUNDARY VALUE PROBLEMS FOR FOURTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS
短句来源
     EXISTENCE OF SOLUTIONS FOR A CLASS OF SYSTEMS GOVERNED BY NONLINEAR DIFFERENTIAL INCLUSIONS
     EXISTENCE OF SOLUTIONS FOR A CLASS OF SYSTEMS GOVERNED BY NONLINEAR DIFFERENTIAL INCLUSIONS
短句来源
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  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
     Constructive Solutions
     构造性解题方法
短句来源
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  existence of solutions
In this work, we study the existence of solutions of the deconvolution problems in the discrete setting.
      
More precisely, we prove the existence of solutions of the discrete multichannel deconvolution problems DMDP with convolvers being the characteristic functions of finite sets of positive integers.
      
A note on regularity and existence of solutions for a class of non-uniformly degenerate elliptic equations
      
As an application, we utilize the results obtained to study the existence of solutions for differential inclusions in Banach spaces.
      
Existence of solutions of nonlinear two and three-point boundary value problems for fourth order nonlinear differential equation
      
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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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