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上下解     
相关语句
  upper and lower solution
    We will use regular-ization method and upper and lower solution technique to give the local existence, global existence and uniqueness results.
    我们将利用正则化方法和上下解技巧给出局部古典解和整体古典解的存在唯一性。
短句来源
    TFD equation in quantum mechancis is established. The existence theorems of the solutions are obtained by singular boundary value problem theory of ordinary differential equation and upper and lower solution method.
    建立了量子力学中的TFD方程,利用常微分方程奇性边值问题理论和上下解方法得到了解的存在性定理·
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  upper and lower solution
Using stretched variables, the formal asymptotic expansion of solution for the problem is constructed and the uniform validity of the solution is obtained by using the method of upper and lower solution.
      
An Upper and Lower Solution Theory for the Problem (G'(y))' + f(t, y) = 0 on Finite and Infinite Intervals
      
A new upper and lower solution theory is presented for the second order problem (G'(y))' + f(t, y) = 0 on finite and infinite intervals.
      
In this paper the existence and uniqueness of solutions of boundary value problems (which contains the Robin's problem) is discussed by using the upper and lower solution.
      
The existence theorems of the solutions are obtained by singular boundary value problem theory of ordinary differential equation and upper and lower solution method.
      
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  upper-lower solution
The approach used is the upper-lower solution technique and Schauder fixed point Theorem developed by Ma (J Differential Equations, 2001, 171:294-314).
      
The existence of periodic solutions for periodic reaction-diffusion systems with time delay by the periodic upper-lower solution method is investigated.
      
Existence, uniqueness and regularity of solutions are demonstrated using the method of upper-lower solution pair.
      
The approach used in this paper is the upper-lower solution technique and monotone iteration method for delayed reaction-diffusion systems.
      
Existence-uniqueness results of the solution are established via a comparison principle and the upper-lower solution technique.
      
  lower and upper solution
This paper presents a lower and upper solution technique for singular second order boundary
      
This paper presents a lower and upper solution approach for singular second order boundary value problems on the half line and establishes the existence of positive, unbounded and monotone solutions.
      
Unfortunately, we do not have ordering informations on the lower and upper solution we obtained via reduction.
      


this paper introduces the concept of upper and lower solution and discusses the asymptotic behavior of the solution for the slob neutron transport equation with generlized boundarg condition.

引进上下解的概念,并利用其性质,讨论了平板几何具有一般反射边界条件的中子迁移方程解的渐近性质。

TFD equation in quantum mechancis is established. The existence theorems of the solutions are obtained by singular boundary value problem theory of ordinary differential equation and upper and lower solution method.

建立了量子力学中的TFD方程,利用常微分方程奇性边值问题理论和上下解方法得到了解的存在性定理·

This paper is concerned with the existence of extreme solutions of integral boundary conditions for a class of first order impulsive differential equations.In presence of a lower solution α and an upper solution β with the classical condition α≤β.The sufficient conditions are obtained for existence of extreme solutions by using upper and lower solutions method coupled with monotone iterative technique.

讨论了一类带积分边界条件的一阶脉冲微分方程极值解的存在性问题.在经典假设α≤β下(α,β为对应方程的上下解),利用上下解方法组合单调迭代技术得到了极值解存在的充分条件.

 
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