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uniqueness of solution
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  解的唯一性
     The Uniqueness of Solution of Riemann-Hilbert Initial Boundary Value Problem for Nonlinear Pseudoparabolic Complex Equation
     非线性拟抛物型复方程的Riemann-Hilbert初边值问题解的唯一性
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     UNIQUENESS OF SOLUTION FOR RFDE AND LIAPUNOV FUNCTIONALS
     RFDE的解的唯一性与Liapunov泛函
短句来源
     In this paper the relation between the uniqueness of solution for RFDE and Liapunov functionals is discussed, i. e., the problem of uniqueness of solution for RFDE is considered using V(t,φ)and the existence problem of V(t,φ)is studied from the uniqueness of solution for RFDE.
     本文讨论RFDE的解的唯一性与Liapunov泛函之间的关系,即用V(t,Φ)讨论RFDE的解的唯一性问题,由RFDE的唯一性来讨论V(t,Φ)的存在性问题。
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     The Uniqueness of Solution to Semi-linear Heat Condition Equation in Higher Dimension
     关于高维半线性热传导方程解的唯一性
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     This paper presents a boundary integral equation of second order linear parabolic equations and proves uniqueness of solution of the boundary integral equation.
     本文给出二阶线性抛物型方程的边界积分方程,并证明了该边界积分方程的解的唯一性.
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  解的惟一性
     Uniqueness of Solution for Singular Perturbation Nonlinear Boundary Value Problem of Volterra type Integrodifferential Equation
     二阶Volterra型积分微分方程奇摄动非线性边值问题解的惟一性
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     UNIQUENESS OF SOLUTION FOR THE INITIAL BOUNDARY VALUE PROBLEM FOR PARABOLIC COMPLEX EQUATION
     抛物型复方程初边值问题解的惟一性(英文)
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     The Uniqueness of Solution on the Single Order Nonlinear Comples Cauchy's Problem with a real Variable
     一阶非线性单实变量复Cauchy问题解的惟一性
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     Conditions for a kind of parabolic complex equation and formulation of initial boundary value problems for parabolic complex equation are given. Afterwards the uniqueness of solution for above boundary value problem is proved by using the extremum principle for parabolic complex equation.
     给出了一类抛物型复方程的条件和抛物型复方程初边值问题的提法 ,然后用抛物复方程的极值原理证明了上述边值问题的解的惟一性
短句来源
  解唯一性
     On the Uniqueness of Solution to Convex Quadratic Programming
     关于凸二次规划的解唯一性
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  “uniqueness of solution”译为未确定词的双语例句
     Existence and Uniqueness of Solution for a Fourth Order Differential-Difference Equation
     Existence and Uniqueness of Solution for a Fourth Order Differential-Difference Equation
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     Existence and uniqueness of solution for M/M/1 queueing model
     M/M/1排队模型动态解的存在唯一性
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     Existence and Uniqueness of Solution of a Class of Coupled Semilinear Schrdinger Equations
     一类半线性耦合Schrdinger方程组解的存在唯一性
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     Applies the method of upper and Low Solution Combing theory of Characteristic Curve,the author discusses the existence and Uniqueness of solution of a first order partial differential inte- gral equation of following: U_t+F(t,x)U_x=g(t,x,u,Tu) U(0,x)=U(2π,x) The solving process is given by bilateral iterative method
     本文用上下解方法结合特征线理论讨论了形如U_t+f(t,x)U_x=g(t,x,u,Tu)u(0,x)=u(2π,x) (1)的一阶偏微分积分方程解的存在性与唯一性,进而用双边迭代的方法给出其求解的程序。
短句来源
     In this paper,for the first time,by the method of the mixed monotone,the auther study the exis-tence and uniqueness of solution for the boundary value problem of second order integro-differental equation in Banach space followingu"(t) = -f(t,u(t),Tu(t)),t∈I=[a,b],u(a) = u(b) = 0, and obtain the new result.
     首次应用混合单调方法,研究了Banach空间中二阶微分-积分方程边值问题u~n(t)=-f(t,u(t),Tu(t)),t∈I=[a,b]u(a)=u(b)=0解的存在与唯一性,获得了新的结果.
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  uniqueness of solution
The aims of this paper are to discuss global existence and uniqueness of solution for a class of non-Newtonian fluids with vacuum in one-dimensional bounded interval.
      
Global existence and uniqueness of solution of the initial boundary value problem for a class of non-Newtonian fluids with vacuu
      
In general, inverse problems are ill-posed boundary value problems whose stability and uniqueness of solution and sensitivity-based formulations require additional constraints.
      
For the particular cases of homogeneous isotropic and transversely isotropic materials, this theorem provides necessary and sufficient conditions for uniqueness of solution to the mixed problems posed.
      
We prove that if 0??V(x) forV(x)≥b, then the set of initial data ξ∈{V=b} yielding non uniqueness of solution in a geometric sense has (n-1)-dimensional Hausdorff measure zero in {V=b}.
      
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In this paper we consider some new types of stability of the null solution of the differential equation =f(t, x) where x and f(t, x) are n-dimensional rectors, t is a real scalar, the function f(t, x) is defined on the semi-cylinder D_m={(t, x); t≥ 0, |x|uniqueness of solutions. Section 1 contains some difinitions and lemmas. Section 2. contains a number of results dealing...

In this paper we consider some new types of stability of the null solution of the differential equation =f(t, x) where x and f(t, x) are n-dimensional rectors, t is a real scalar, the function f(t, x) is defined on the semi-cylinder D_m={(t, x); t≥ 0, |x|uniqueness of solutions. Section 1 contains some difinitions and lemmas. Section 2. contains a number of results dealing with relations between the L~p-stability and the L~pasymptotic stability. Section 3 contains sufficient conditions for L~p-asymptotic stability.

关于微分方程(E)的零解,引进了L~p渐近稳定及全局L~p渐近稳定等一类新型的稳定性,讨论了它们与Strauss意义下的L~p稳定及全局L~p稳定之间的关系,并以推广了的李雅普诺夫第二方法为工具建立了若干判定准则。

An essential feature of stress-strain behavior of soils different from that of metals is the cross effect of the mean normal stress on the deviatoric strain and that of the deviatoric stress on the volumetric strain. In addition, it has been shown by experiment data, that the direction of plastic strain increment vector is not uniq uely defined by the stress state, but also dependent on the direction of stress increment vector during shear. In order to better describe these mechanical properties of soils, a...

An essential feature of stress-strain behavior of soils different from that of metals is the cross effect of the mean normal stress on the deviatoric strain and that of the deviatoric stress on the volumetric strain. In addition, it has been shown by experiment data, that the direction of plastic strain increment vector is not uniq uely defined by the stress state, but also dependent on the direction of stress increment vector during shear. In order to better describe these mechanical properties of soils, a new concept of so-called partial yield loci is formulated. Oppositely, the yield locus in the usual mean is renamed as the general yield locus. According to this new concept, the yield of the volumetric yield locus introduces only the plastic volumetric strain; similarly, the yield of the deviatoric yield locus induces only the plastic distortional strain.The mechanical model based on this new theory satisfactorily explains the dependency of the direction of strian increment vector upon that of stress increment vector, and also explains the various behaviours of soils, such as dilatation-contraction and hardening-softening, as well. In addition.it has been shown, that the model is in accordance with I' iushin's postulate of plasticity and satisfies the requirement of uniqueness of solution in boundary value problems of elasto-plasticity.Finally,a special model for the normally consolidated clay is proposed.

土与金属材料不同的一个基本特性是平均压应力对偏应变以及偏应力对体应变之间的交叉影响。另外还有不少试验资料证明,土的塑性应变方向不是唯一的,而与加荷方向有关。为了考虑土的这些基本特性,文中提出了部分屈服面的新概念,并把传统意义上的屈服面称为整体屈服面。按照这一概念,体应变屈服面的屈服只引起塑性体应变,偏应变屈服面的屈服只引起塑性偏应变。基于这一概念建立起来的模式除了能反映塑性应变方向与加荷方向之间的依存关系外,还能说明土的剪胀—剪缩和硬化—软化现象,而且也符合依留辛的塑性假设和满足弹塑性边值问题的解的唯一性要求。文末针对正常压密粘土提出了一个具体的计算模式。

The method of "boundary layer corrections" is developed to study the Dirichlet problem for a quasilinear elliptic equation in a bounded domain, when the degenerate equation has characteristics tangent to the boundary. The existence and uniqueness of solution have been proved The uniformly valid asymptotic expansion of solution has been constructed.

本文研究最高阶导数项含小参数的拟线性椭圆型方程的狄立克雷问题,在退化方程的特征是曲线和区域是凸域的一般情形下,给出构造一致有效渐近解的方法,并证明当小参数是充分小时,狄立克雷问题的解是存在和唯一.

 
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