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This paper considers existence of extreme solutions to first-order differential equations with a parameter by the method of lower and upper solutions with monotone iterations,and monotonic sequence is uniformly converged to the extreme value solution of nonlinear equation after being constructed.

文章利用上下解方法和单调迭代技术讨论了含有一个参数的微分问题极值解的存在性,通过构造单调序列使这个单调序列一致收敛于非线性方程的极值解。

First, the digraph is used to represent the topology of multi-agent systems, and then, a first-order integrator model and a consensus convergence criterion of systems are established.

首先提出了能使用有向图表示的多智能体网络系统的拓扑结构,并根据该拓扑结构建立了网络系统的1阶数学模型和提出了多智能体网络系统一致收敛准则。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解,证明该逼近解的一致收敛性。

In addition, the computation method of the final consensus state of the multi-agent system is obtained.

此外,得到了系统最终收敛的一致状态的求解方法。

Next, through a finite iteration of the solution sequence, an approximate solution of the optimal output-tracking control problem is obtained.

首先根据原系统最优输出跟踪控制问题构造了两个分别具有已知初始条件和终端条件的微分方程迭代序列,并证明它们一致收敛于原问题的最优解。

Because, discriminate functions, function and a series of parameter improper integral. We uniform convergence is research foundation of many mathematical problems.

因为,判别函数列、函数项级数以及含参量反常积分的一致收敛是研究许多数学问题的基础。

By using the uniform convergence and invexity the continuity of the approximating set of Pareto solutions of the problem is obtained.

在一致收敛性和不变凸性的条件下得到了近似有效解集的连续性。

And th e uniform convergence of the train is proved by means of analysis method.

并采用分析的方法证明该序列的一致收敛性。

Through Weierstrass circle of students the importance of uniform convergence was made known.

通过威阿斯塔斯周围的学生,人们知道了一致收敛性的重要性。

The concept of twoperiod progressive function is proposed to analyze POA character.

由两时段滑动算法的特点,提出了两阶段寻优函数的概念,导出了POA一致收敛原理。

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