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| 一类特殊微分方程的解 | |
| 引用本文： | 龚东山,贾筱景,牛富俊.一类特殊微分方程的解[J].四川理工学院学报(自然科学版),2008,21(6). |
| 作者姓名： | 龚东山 贾筱景 牛富俊 |
| 作者单位： | 1. 兰州大学数学与统计学院,兰州,730000 2. 甘肃政法学院计算机科学学院,兰州,730070 3. 中国科学院寒区旱区环境与工程研究所冻土工程国家重点实验室,兰州,730000 |
| 基金项目： | 国家自然科学基金对外交流与合作项目 ， 中科院西部之光联合学者项目 |
| 摘 要： | 为了探究一类非线性微分方程的解,先提出独立通解(UGS)的概念,得到了齐次微分方程的解,其解是由若干个独立通解共同构成的。对于非齐次情形,该方程或者无解或者有多组解(其中每组解为一对关于x轴对称的函数)。 |
| 关 键 词： | 非线性 非齐次 微分方程 独立通解 解 |
A Class of Solutions of Special Differential Equation |
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| GONG Dong-shan,JIA Xiao-jing,NIU Fu-jun.A Class of Solutions of Special Differential Equation[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2008,21(6). | |
| Authors: | GONG Dong-shan JIA Xiao-jing NIU Fu-jun |
| Institution: | GONG Dong-shan1,JIA Xiao-jing2,NIU Fu-jun3(1.School of Mathematics , Statistics,Lanzhou University,Lanzhou 730000,China,2.Department of Computer Science,Gansu Political Science , Law Institute,3.State Key Laboratory of Frozen Soil of Engineering,Cold , Arid Regions Environmental , Engineering Research Institute,Chinese Academy of Sciences,China) |
| Abstract: | In the process offinding solutions of a class of nonlinear differential equation,the conception of undependent general solution(UGS) is firstly presented.Based on this conception,we get the solutions of homogeneous differential equation which are constructed by some undependent general solutions.For the non-homogeneous differential equation,we prove the equation has no solution or exists solutions which are some teams and each team is x-axial symmetry. |
| Keywords: | nonlinear non-homogeneous differential equation undependent general solution solution |
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