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GENERAL_SOLUTION: 作品数：81被引量：106H指数：5; 导出分析报告; 相关作者：李宁李宁李宁孙文杰王克文更多>>; 相关机构：长江大学北京大学中国石油天然气集团公司安徽大学更多>>; 相关期刊：《Progress in Natural Science:Materials International》《Analysis in Theory and Applications》《Frontiers of Mathematics in China》《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金宁波市自然科学基金北京市自然科学基金更多>>

General Solutions’ Laws of Nonlinear Partial Differential Equations: 《Journal of Applied Mathematics and Physics》2025年第1期166-208,共43页Honglai Zhu; In previous papers, we proposed the important Ztransformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time. In this paper, we will use ...; 关键词：TRANSFORMATION Nonlinear Partial Differential Equations Analytical Solution General Solution Definite Solution Problems

A General Solution of the Type I Mc Kay Distribution's Stein Equation被引量：2: 《Journal of Mathematical Research with Applications》2023年第5期607-618,共12页Jingcai YANG Dawei LU; Supported by the Dalian High-level Talent Innovation Program (Grant No. 2020RD09);the National Natural Science Foundation of China (Grant No. 12371154)。; In this paper, we obtain the general solution of Type I Mc Kay Distribution's Stein equation. We prove that the bounded solution of Type I Mc Kay Distribution's Stein equation exists and it is unique. Furthermore, som...; 关键词：Stein's method Stein equation Type I Mc Kay Distribution

Kernel extreme learning machine‐based general solution to forward kinematics of parallel robots: 《CAAI Transactions on Intelligence Technology》2023年第3期1002-1013,共12页Jun Ma Xuechao Duan Dan Zhang; supported by National Natural Science Founda-tion of China under Grant No.52175246;111 project’under Grant No.B14042;Natural Science Basic Research Plan in Shaanxi Province of China under Grant 2021JM‐122。; The forward kinematics of parallel robots is a challenging issue due to its highly coupled non‐linear relation among branch chains.This paper presents a novel approach to for-ward kinematics of parallel robots based ...; 关键词：artificial intelligence CLASSIFICATION machine learning regression analysis ROBOTICS

General Solutions of First-Order Algebraic ODEs in Simple Constant Extensions: 《Journal of Systems Science & Complexity》2023年第4期1769-1788,共20页MITTERAMSKOGLER Johann Josef WINKLER Franz; If a first-order algebraic ODE is defined over a certain differential field,then the most elementary solution class,in which one can hope to find a general solution,is given by the adjunction of a single arbitrary con...; 关键词：Algebraic curve algebraic differential equation general solution Möbius transformation rational parametrization

How to Make Systems of Nonlinear Autonomous ODEs with Attractor-Behavior, by First Making the General Solutions: Part Two: 《Journal of Applied Mathematics and Physics》2023年第1期115-134,共20页Magne Stensland; This paper is presenting a new method for making first-order systems of nonlinear autonomous ODEs that exhibit limit cycles with a specific geometric shape in two and three dimensions, or systems of ODEs where surface...; 关键词：System of Nonlinear ODEs Limit Cycle General Solution ATTRACTOR

How to Make Systems of Nonlinear Autonomous ODEs with Attractor-Behavior, by First Making the General Solutions: Part One被引量：1: 《Journal of Applied Mathematics and Physics》2022年第12期3814-3835,共22页Magne Stensland; In this paper, we will present a new method for making first-order systems of nonlinear autonomous ODEs that exhibit limit cycles with a specific geometric shape in two and three dimensions, or systems of ODEs where s...; 关键词：System of Nonlinear ODEs Limit Cycle General Solution ATTRACTOR

A System of Sylvester-type Quaternion Matrix Equations with Ten Variables: 《Acta Mathematica Sinica,English Series》2022年第8期1399-1420,共22页Meng Yan XIE Qing Wen WANG Zhuo Heng HE Mehany Mahmoud SAAD; Supported by the National Natural Science Foundation of China(Grant No.11971294)。; This paper studies a system of three Sylvester-type quaternion matrix equations with ten variables A_(i)X_(i)+Y_iB_(i)+C_(i)Z_(i)D_(i)+F_(i)Z_(i+1)G_(i)=E_(i),i=1,3^-.We derive some necessary and sufficient conditions...; 关键词：Quaternion matrix equation φ-Hermitian solution general solution SOLVABILITY

A Contour Integral Method for Linear Differential Equations in Complex Plane: 《Wuhan University Journal of Natural Sciences》2020年第6期489-495,共7页GAO Le WANG Wenshuai; Supported by the National Natural Science Foundation of China(11561055);the Natural Science Foundation of Ningxia(2018AAC03057)。; This paper presents the contour integral method for solving the linear constant coefficient ordinary differential equations in complex plane,and obtains the uniform expressions of the general solutions.Firstly,by usin...; 关键词：complex differential equation contour integral method Residue Theorem general solution particular solution

Descent of Ordinary Differential Equations with Rational General Solutions被引量：1: 《Journal of Systems Science & Complexity》2020年第6期2114-2123,共10页FENG Shuang FENG Ruyong; the National Natural Science Foundation of China under Grants Nos.11771433and 11688101;Beijing Natural Science Foundation under Grants No.Z190004。; Let F be an irreducible differential polynomial over k(t)with k being an algebraically closed field of characteristic zero.The authors prove that F=0 has rational general solutions if and only if the differential alge...; 关键词：Algebraic ordinary differential equation differential descent rational general solution

Reducible solution to a quaternion tensor equation: 《Frontiers of Mathematics in China》2020年第5期1047-1070,共24页Mengyan XIE Qing-Wen WANG; supported by the National Natural Science Foundation of China(Grant No.11971294).; We establish necessary and sufficient conditions for the existence of the reducible solution to the quaternion tensor equation A*N C*NB=C via Einstein product using Moore-Penrose inverse,and present an expression of t...; 关键词：Quaternion tensor quaternion tensor equation Einstein product Moore-Penrose inverse general solution reducible solution

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