Systems of nonalgebraic nonlinear ODEs

被引：0
作者：
Ferro, GC [1 ]
机构：
[1] Univ Catania, Dept Math & Comp Sci, I-95125 Catania, Italy
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2001年 / 57卷 / 3-5期
关键词：
exponential functions; logarithmic functions; differential elimination;
D O I：
10.1016/S0378-4754(01)00338-X
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A procedure is given for reducing nonlinear ordinary differential equations containing exponential and logarithms to systems of polynomial ordinary differential equations. Examples that Maple V release 4 cannot solve, but can solve after the transformations are given. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：197 / 209
页数：13
相关论文
共 21 条
[1]  
[Anonymous], FORUM MATH
[2]  
BOULIER P, 1994, THESIS U LILLE
[3]  
BOULIER P, 1996, SOME IMPROVEMENTS LE
[4]  
BOULIER P, 1995, P ISSAC 95, P158
[5]  
Buchberger B, 1976, ACM SIGSAM B, V10, P19, DOI [DOI 10.1145/1088216.1088219, 10/d2cskd, 10.1145/ 1088216.1088219]
[6]  
Carra'-Ferro G., 1997, LECT NOTES COMPUT SC, V1255, P55
[7]  
CARRAFERRO G, 1987, LEC NOT COMP SCI, V356, P129
[8]  
CARRAFERRO G, 1997, APPL ALGEBR ENG COMM, P539
[9]   DIFFERENTIAL-ALGEBRAIC DECISION METHODS AND SOME APPLICATIONS TO SYSTEM-THEORY [J].
DIOP, S .
THEORETICAL COMPUTER SCIENCE, 1992, 98 (01) :137-161
[10]   ELIMINATION IN CONTROL-THEORY [J].
DIOP, S .
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 1991, 4 (01) :17-32
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