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A Improved Parallel Genetic Algorithm Based on fixed point theory for the Optimal Design of Multi-body Model Vehicle Suspensions

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A Improved Parallel Genetic Algorithm Based on Fixed Point T...

On Nonnegative Solution of Multi-Linear System with Strong M_(z)-Tensors

2009 2nd IEEE International Conference on Computer Science and Information Technology（ICCSIT 2009）

作者： Guangyuan Liu Scientific Research Office Hebei University of Engineering Handan China Jingjun Zhang Ruizhen Gao Yang Sun College of Info & Electric Engineering Hebei University of Engineering Handan China

Based on an improved genetic algorithm,a parallel genetic algorithm is presented and the skeleton implementing is constituted in this *** van der Laan-Talman Algorithm is introduced to the genetic algorithm to design convergence criteria objectively and to solve the convergence problem in the later *** parallel genetic algorithm of multi-body model vehicle suspension optimization is implemented through establishing the interface between ADAMS software and the genetic *** results show that the parallel genetic algorithm developed in this paper is efficient.

关键词： Vehicle suspension Genetic Algorithm Parallel Genetic Algorithm fixed point theory Cluster system

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Numerical Mathematics(theory,Methods and Applications) 2021年第1期14卷 176-193页

作者： Changxin Mo Yimin Wei School of Mathematical Sciences Fudan UniversityShanghai 200433P.R.of China School of Mathematical Sciences and Shanghai Key Laboratory of Contemporary Applied Mathematics Fudan UniversityShanghai 200433P.R.of China

A class of structured multi-linear system defined by strong M_(z)-tensors is *** prove that the multi-linear system with strong M_(z)-tensors always has a nonnegative solution under certain condition by the fixed point *** also prove that the zero solution is the only solution of the homogeneous multi-linear system for some structured tensors,such as strong M-tensors,H^(+)-tensors,strictly diagonally dominant tensors with positive diagonal *** examples are presented to illustrate our theoretical results.

关键词： M_(z)-tensor multi-linear system nonnegative solution M-tensor tensor equation fixed point theory

Periodic Solutions on Generalized Abel's Differential Equation

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Journal of Mathematical Research with Applications 2022年第3期42卷 261-278页

作者： Hua NI School of Mathematical Sciences Jiangsu University

In this paper, we discuss the generalized Abelian differential equation. By using the fixed point theorem, we obtain sufficient conditions for the existence of two nonzero periodic solutions of the equation. We also d... 详细信息

关键词： generalized Abel's differential equation fixed point theory periodic solutions

The Existence of Periodic Solutions of a Class of <i>n</i>-Degree Polynomial Differential Equations*

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Applied Mathematics 2021年第1期12卷 32-57页

作者： Ni Hua Faculty of Science Jiangsu University Zhenjiang China

This paper deals with a class of n-degree polynomial differential equations. By the fixed point theorem and mathematical analysis techniques, the existence of one (n is an odd number) or two (n is an even number) periodic solutions of the equation is obtained. These conclusions have certain application value for judging the existence of periodic solutions of polynomial differential equations with only one higher-order term.

关键词： n-Degree Polynomial Differential Equation fixed point theory Periodic Solution

矩阵方程X-A*X-qA=Q的Hermite正定解及其扰动分析

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高等学校计算数学学报 2014年第2期36卷 97-107页

作者：李超陈广贵李鸣明西华大学数学与计算机学院

1引言非线性矩阵方程是数值代数研究的重要领域之一.本文研究非线性矩阵方程X-A*X-qA=Q（1.1）的Hermite正定解及其扰动分析,其中q为正整数,A是n阶非奇异复矩阵,A*是矩阵A的共轭转置,Q是n阶Hermite正定矩阵.在实际生活中,矩阵方程的应... 详细信息

1引言非线性矩阵方程是数值代数研究的重要领域之一.本文研究非线性矩阵方程X-A*X-qA=Q（1.1）的Hermite正定解及其扰动分析,其中q为正整数,A是n阶非奇异复矩阵,A*是矩阵A的共轭转置,Q是n阶Hermite正定矩阵.在实际生活中,矩阵方程的应用相当广泛,包

关键词： nonlinear matrix fixed point theory positive definite solution perturbation bound condition number.

EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM FOR ONE-DIMENSIONAL p-LAPLACIAN

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Annals of Differential Equations 2014年第2期30卷 137-143页

作者： Yujun Cui Shu Zhang Dept.of Math. Shandong University of Science and Technology

We study the existence of positive solutions to boundary value problems for one- dimensional p-Laplacian under some conditions about the first eigenvalues correspon- ding to the relevant operators by the fixed point theory. The main difficulties are the computation of fixed point index and the subadditivity for positively 1-homogeneous operator.

关键词： p-Laplacian boundary value problem first eigenvalue fixed point theory

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Periodic orbits of the Non-approximation System for the Circular Restricted Three-Body Problem

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Periodic orbits of the Non-approximation System for the Circ...