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1)  upper and lower solutions
上解和下解
2)  upper and lower solutions
上解与下解
3)  Upper and Lower Solution
上下解
1.
The upper and lower solution method of nonlocal problem for the first order ordinary differential equation;
一阶常微分方程非局部问题的上下解方法
2.
Based on upper and lower solutions,the existence and uniqueness theorem are established.
以上下解为基础,建立了解的唯一性定理,在适当条件下,构造具体的上下解,得到了解的存在性和唯一性。
3.
Based on the upper and lower solution, the uniqueness theorem is established.
利用微分不等式理论,研究了二阶Volterra型积分微分方程奇摄动的非线性边值问题,以上下解为基础,建立了解的唯一性定理,在适当条件下,构造具体的上下解,得到了解的唯一性。
4)  upper and lower solutions
上下解
1.
The method of upper and lower solutions for higher order P-Laplace equation boundary value problems;
高阶P-Laplace方程边值问题的上下解方法
2.
The upper and lower solutions of m-point boundary value problems at resonance and topological degree;
m点边值共振问题的上下解和拓扑度
3.
Squeeze Rule and the Upper and Lower Solutions Method for Differential Equation;
夹逼准则与微分方程的上下解方法
5)  upper-lower solution
上下解
1.
By constructing proper upper-lower solutions,the existence of travelling wave solutions was proved.
通过构造适当的上下解,证明行波解的存在性。
2.
In this paper we give the periodic upper-lower solution method for proving the existence of periodic solution of ordinary differential system, using this method we also get nonzero periodic solutions of mutualism models and competitive models in ecology.
给出常微分方程组周期解存在性的周期上下解方法,利用这种方法得到了生态学中互助系统和竞争系统的非平凡周期解的存在性。
3.
By putting in impulsion at suitable time,the instruction of upper-lower solutions in every interval and the control of impulsive source and reactive function,the extinct time of solution can be controlled into a desired time interval.
首先证明如果没有脉冲,解会在有限时刻熄灭;其次考虑脉冲方程,通过在适当的时候增加脉冲,分段构造上下解,对脉冲源和反应函数加以控制,使解的熄灭时间到达指定的时段。
6)  method of upper and lower solutions
上、下解法
1.
By using the method of upper and lower solutions,we obtain the existence of solutions for boundary value problem of second order integro differential equations of Volterra type in a normal cone.
利用上、下解法在正规锥上证明了二阶非线性Volterra型积分微分方程边值问题解的存在性。
补充资料:解和
1.解除和约。 2.讲和;和解。 3.劝人和解。
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