...脉冲;奇异边值问题;上下解;正解 [gap=395]Keywords】: impulsive; singular boundary value problem; lower and upper solution; positive solution ...
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上、下解 the upper and lower solutions ; Upper and lower solution
上下解方法 upper-lower solution method ; lower-upper solution ; up-lower solutions method ; method of upper and lower solutions
平行上下解 parallel sub-super solutions
上下文解释 contextual interpretation
上下文与以经解经 Context and Inter-textuality
耦合下上解 coupled lower and upper solutions
上、下概率解释 Upper and lower probability interpretation
通过上下文理解单词 Understanding Vocabulary from Context
上下文特定解释 context-specific interpretation
In chapter three, we study the existence of solutions for a kind of forth order multiple-point boundary value problem. Combining lower and upper solutions methods and monotone iterative techniques, we get the minimal and maximal solutions.
在第三章,我们研究了四阶微分方程边值问题解的存在性,利用上下解结合单调迭代的方法给出了该边值问题的最大解和最小解。
参考来源 - 几类常微分方程多点边值问题解的存在性研究Here supersolutions and subsolutions are constructed by many function forms, such as special function, blow-up factor and solutions of ordinary differential equations.
这里构造的上下解形式多样,比如特殊函数法,爆破因子法和利用相应的常微分方程构造上、下解。
参考来源 - 非线性退化反应扩散方程组解的性质·2,447,543篇论文数据，部分数据来源于NoteExpress
通过构造适当的上下解，证明行波解的存在性。
By constructing proper upper-lower solutions, the existence of travelling wave solutions was proved.
对于初值问题，采用上下解的单调迭代方法求解。
Upper lower solutions method and monotone iterative technique are applied to initial value problem.
把上下解方法应用到相应有限差分系统上，得到两个迭代序列。
Using the method of upper lower solutions we construct two monotone sequences for the finite difference equations.
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