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- Abstract: This paper gives a proof of a comparison theorem on the viscosity solution of HJB Equation. 文摘:证明了与随机控制问题有关的动态规划方程粘性解的比较定理.
- A comparison theorem is proved for the solutions of a backward-forward differential equations. 摘要证明了一类正倒向随机微分方程解的比较定理。
- This paper gives a proof of a comparison theorem on the viscosity solution of HJB Equation. 证明了与随机控制问题有关的动态规划方程粘性解的比较定理.
- By means of the comparison theorem, and the oscillation of some non-linear partial difference equations is discussed and some concise conditions and authenticity are given. 给出系统振动的比较定量，利用比较定理讨论了一类非线性偏差分方程的振动性，给出简单的判别条件及证明。
- Under some relatively strong assumptions, I achieve the Existence and Uniqueness Theorem, Comparison Theorem, Convexity Theorem. 并且在效用函数满足比较强的条件下，得到了定价系统解的存在唯一性定理，比较定理，凸性定理。
- Under the most elementary conditions for backward stochastic differential equation introduced by Peng S., we put forward and prove a general converse comparison theorem. 在由彭实戈引入的倒向随机微分方程的最基本的条件下;提出并证明了一个一般的反比较定理.
- By comparison theorem and the upper-lower solution method, the conditions for the global existence and the finite time blow-up of solution to the system are established. 通过运用比较定理和构造上、下解方法，建立了该方程组解的整体存在和有限爆破的充分条件。
- The author uses comparison theorem for stochastic differential equations to explore the limit behavior of one-dimentional discontinuous dynamical system with small random perturbations. 作者利用随机微分方程的比较定理,确定间断动力系统在小随机扰动下的极限分布。
- We consider a singularly perturbed boundary value problem for higher order semilinear elliptic equation.Using the comparison theorem, the uniform validity of the asymptotic solution is proved. 本文研究了一类高阶半线性椭圆型方程奇摄动边值问题。利用比较定理,证明了渐近解的致有效性。
- The present paper deals with the sufficient and necessary condition of the final positive solutions of non-linear partial-difference equations and first presents the comparison theorem. 摘要建立关于具有连续变量非线性偏差分方程存在最终正解的充要条件。
- Abstract: In this paper,we discusses Comparison Theorem about someone Systems of Parabolic Boundary Value Problems,by method of Upper-down solution.In the meantime,We would discuss uniqueness of their smooth solution. 文摘:本文利用上、下解方法，讨论一类抛物型方程组的比较定理，同时讨论正则解的存在唯一性。
- Abstract: We consider a singularly perturbed boundary value problem for higher order semilinear elliptic equation.Using the comparison theorem,the uniform validity of the asymptotic solution is proved. 文摘:本文研究了一类高阶半线性椭圆型方程奇摄动边值问题.;利用比较定理，证明了渐近解的致有效性
- By the comparison theorem, a series of properties of the backward-forward differential utility process is gotten, such as time consistence, monotonicity with respect to the terminal value, monotonicity with respect to the consumption and concavity. 运用比较定理，还证明了正倒向随机微分效用过程的时间一致性、终值单调性、消费单调性和凹性等有关性质。
- The nonoscillatory properties of the second order half-linear delay difference equations are studied. The comparison theorem and sufficient condition for the nonoscillation are obtained. 摘要研究了二阶半线性时滞差分方程的非振动解的性质，建立了非振动解的比较定理和充分条件。
- This paper deals with the second order functional differential equations with distributed delay.By using the inequality estimation we obtain the comparison theorem of the boundedness of solutions. 摘要本文讨论二阶具分布时滞的泛函微分方程，利用不等式的估计得到瞭解的有界性比较定理。
- We can only tell good from bad by comparison. 我们可以通过比较来分辨好坏。
- Whenever the coefficient matrix A is a Z-matrix, for a few of preconditioned methods, a sires of comparison theorems and Stein-Rosenberg type theorems of generalized block AOR, SSOR methods are proved, respectively. 当A为一般Z矩阵时，对多种预条件方法，给出了关于广义块AOR，SSOR迭代法的一系列比较定理及相应的Stein-Rosenberg型定理。
- He is rather dull in comparison with others. 和别人比较起来，他相当迟钝。
- Her looks are out of all comparison. 她的美貌无与伦比。
- Her looks are beyond comparison. 她的美貌无与伦比。
