In this paper,the external problems of nonlinear singular systems are discussed by using monotone iterative technique and the method of upper and lower solutions.
应用单调迭代法和上下解的方法讨论了广义非线性系统的极限值问题 ,给出了解存在性的构造性证明 ,所构造的逼近序列是线性系统的解 ,因此较易实现数值计算 。
This paper uses the monotone iterative technique to investigate the existence of the solutions of a class of boundary value problem for third-order differential equation.
用单调迭代法研究一类三阶微分方程边值问题解的存在性,不仅证明了该问题解的存在性,而且得到了其迭代格式。
Aimed at the mathematic problem in the model of the pendulum oscillation,the paper introduces the study on the existence of odd-harmonic solutions to second order semi-linear differential equation which describes the model of the pendulum oscillation by using upper and lower solution method monotone iterative technique and the Schauder fixed point theorem respectively.
针对摆型振动模型中的数学问题,分别采用上下解方法、单调迭代法及Schauder不动点定理研究了摆型振动模型的二阶半线性微分方程奇调和解的存在性。
Studies a boundary value problem of reaction-diffusion equation with volterra type nonlinear boundary condition,and establishes monotone iterative method for existence and uniqueness of solution.
研究了具有Ｖｏｌｔｅｒａ型非线性边界条件的反应扩散方程的边值问题，建立了解的存在性和唯一性的单调迭代
We show that for quasi-linear singularly perturbed problems the monotone iterative method is globally convergent.
应用单调迭代法(也称上下解算法)来求解差分方程组,证得由单调迭代算法所产生的单调迭代序列是单调地收敛于差分方程组的准确解的。
Splitting one-step monotone iterative methods are generalized to splitting multi-step monotone iterative methods.
把分裂型一步单调迭代法推广到分裂型多步单调选代法。
A simple iterative method is applied to study the convergence of a class of nonlinear equations on engineering and technology:f(x)=x+1/ksinf(x)(k>1).
应用简单迭代法,研究了工程技术上一类非线性方程f(x)=x+1/ksinf(x)(k>1)的收敛性,对算法进行了研究,并用c语言编出了算法程序,并进行了误差分析和估计。
Improvement on the simple iterative method for nonlinear equation(s);
对非线性方程(组)简单迭代法的改进
Considering first-order periodic boundary value problems on time scales,the authors have obtained the sufficient conditions for the existence of extremal solutions by employing the approaches for upper and lower solutions and monotone iterative method.
考虑了时间模上一阶周期边值问题,运用上下解方法和单调迭代方法得出了此边值问题存在极值解的充分条件,所谓时间模T是实数集上一个非空子集,当时间模为R时,此结果为一个新结果。
By using the monotone iterative method and Mnch fixed points theorem,some existence and uniqueness theorems of solutions are obtained.
结合单调迭代方法及Monch不动点定理给出了Banach空间二阶微分方程初值问题解的存在唯一性定理,对文献[1]中结果做了本质改进。
Improvement of Simple Repetitive Process on Nonlinear Equation of Extracting a Root
非线性方程求根简单迭代法的一种改进
Monotone Iteration Algorithm for Quasi-linear Singular Perturbation Problems;
奇异摄动拟线性问题的单调迭代算法
Three-Step Iteration about A-maximal Monotone Framework
基于A-极大单调算子的三步迭代算法
Iterative Algorithms for Approximating Solutions of Operator Equations Governed by Strongly Monotone and Boundedly Lipschitzian Operators
强单调有界Lipschitz算子方程解的迭代算法
It can ensure unitary column orthogonality for the resulting matrix sequence.
该方法可确保迭代矩阵列的单位列正交性.
The image bellow shows a terrain artificially generated by a very simple iterative algorithm.
下面的地形是用非常简单的迭代算法生成的。
Monotone Iterative Technique of Periodic Solutions for Impulsive Evolution Equations in Banach Space;
Banach空间脉冲发展方程周期解的单调迭代方法
Monotone Iterative Numerical Method for a Class of Nonlinear Diffusion Equations;
一类非线性扩散方程的单调迭代数值解法
Coupled Fixed Point of Mixed Monotone Multivalued Operators and Its Applications;
混合单调算子耦合不动点的迭代求法及其应用
Monotonic Iteration of Integral-differential Equation in Abstract Cone;
抽象锥中积分—微分方程的单调迭代方法
A Recursive Procedure for Calculation of Distribution for Heterogeneous Policies Portfolios;
非同质保单组合赔付额分布的迭代算法
An Iterative Calculation on the Ampacity of Single-Core Cable and Experimental Validation
单芯电缆载流量迭代算法研究及试验验证
Measurement Method of Speed and Distance for Cooperative Object Based on Single Doppler Radar Station
对可合作目标单站多普勒测量方程的迭代解法
Monotone iterative technique and its application for higher order itegral-differential equations
高阶微分积分方程的单调迭代法及其应用
Monotone Hybrid Algorithm for Fixed Points of Nonexpansive Semigroups
单调混杂算法迭代逼近非扩张半群的不动点
Monotone Iterative Method for a Nonlinear Third-Order Boundary Value Problem
一类非线性三阶边值问题的单调迭代方法
Monotone iterative method for fourth order nonlinear boundary value problems
四阶非线性边值问题解的单调迭代方法
A New Iterative Scheme Based on G-S Iteration Method
基于G—S迭代法的一种新的迭代格式