GENERAL_SOLUTION

作品数：81被引量：106H指数：5
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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>>
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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 
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 
RATIONAL GENERAL SOLUTIONS OF HIGHER ORDER ALGEBRAIC ODES被引量：3
《Journal of Systems Science & Complexity》2013年第2期261-280,共20页HUANG Yanli NG L X Chu WINKLER Franz 
supported by the Austrian Science Foundation(FWF) via the Doctoral Program "Computational Mathematics" under Grant No.W1214;Project DK11,the Project DIFFOP under Grant No.P20336-N18;the SKLSDE Open Fund SKLSDE-2011KF-02;the National Natural Science Foundation of China under Grant No.61173032;the Natural Science Foundation of Beijing under Grant No.1102026,and the China Scholarship Council
This paper generalizes the method of Ng6 and Winkler （2010, 2011） for finding rational general solutions of a first order non-autonomous algebraic ordinary differential equation （AODE） to the case of a higher orde...
关键词：Algebraic ODE associated system invariant algebraic space curve rational first integral rational general solution. 
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