Deciding the existence of rational general solutions for first-order algebraic ODEs

Journal of Symbolic Computation ◽

10.1016/j.jsc.2017.06.003 ◽

2018 ◽

Vol 87 ◽

pp. 127-139 ◽

Author(s):

N. Thieu Vo ◽

Georg Grasegger ◽

Franz Winkler

Keyword(s):

General Solutions ◽

First Order ◽

Order Algebraic

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Algorithmic Reduction and Rational General Solutions of First Order Algebraic Differential Equations

Trends in Mathematics - Differential Equations with Symbolic Computation ◽

10.1007/3-7643-7429-2_12 ◽

2006 ◽

pp. 201-212 ◽

Author(s):

Guoting Chen ◽

Yujie Ma

Keyword(s):

Differential Equations ◽

General Solutions ◽

Algebraic Differential Equations ◽

First Order ◽

Order Algebraic

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Rational general solutions of systems of first-order algebraic partial differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.10.010 ◽

2018 ◽

Vol 331 ◽

pp. 88-103 ◽

Author(s):

Georg Grasegger ◽

Alberto Lastra ◽

J. Rafael Sendra ◽

Franz Winkler

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential ◽

General Solutions ◽

First Order ◽

Order Algebraic

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Rational general solutions of first-order algebraic ODEs

ACM Communications in Computer Algebra ◽

10.1145/2110170.2110189 ◽

2012 ◽

Vol 45 (3/4) ◽

pp. 238-238

Author(s):

L. X. Châu Ngô

Keyword(s):

General Solutions ◽

First Order ◽

Order Algebraic

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Algebraic General Solutions of First Order Algebraic ODEs

Computer Algebra in Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-319-24021-3_35 ◽

2015 ◽

pp. 479-492 ◽

Author(s):

Ngoc Thieu Vo ◽

Franz Winkler

Keyword(s):

General Solutions ◽

First Order ◽

Order Algebraic

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AGADE—A Maple Package for Computing Rational General Solutions of Parametrizable First-Order Algebraic ODEs

Communications in Computer and Information Science - Maple in Mathematics Education and Research ◽

10.1007/978-3-030-81698-8_18 ◽

2021 ◽

pp. 268-287

Author(s):

Johann J. Mitteramskogler

Keyword(s):

General Solutions ◽

First Order ◽

Order Algebraic ◽

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A theoretical study of the use of internal standards for precise isotopic analysis by the surface ionization technique: Part I - General first-order algebraic solutions

Journal of Scientific Instruments ◽

10.1088/0950-7671/40/6/307 ◽

1963 ◽

Vol 40 (6) ◽

pp. 289-295 ◽

Author(s):

M H Dodson

Keyword(s):

Theoretical Study ◽

Isotopic Analysis ◽

Surface Ionization ◽

Internal Standards ◽

Ionization Technique ◽

First Order ◽

Order Algebraic ◽

Algebraic Solutions

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A polynomial time algorithm for finding rational general solutions of first order autonomous ODEs

Journal of Symbolic Computation ◽

10.1016/j.jsc.2006.02.002 ◽

2006 ◽

Vol 41 (7) ◽

pp. 739-762 ◽

Author(s):

Ruyong Feng ◽

Xiao-Shan Gao

Keyword(s):

Polynomial Time ◽

Polynomial Time Algorithm ◽

Time Algorithm ◽

General Solutions ◽

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On the number of meromorphic solutions of some first order algebraic differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(92)90209-v ◽

1992 ◽

Vol 167 (2) ◽

pp. 316-321 ◽

Author(s):

Yuan Wenjun

Keyword(s):

Differential Equations ◽

Meromorphic Solutions ◽

Algebraic Differential Equations ◽

First Order ◽

Order Algebraic

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A remark on the growth of solutions of first order algebraic differential equations

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-1980-0556622-8 ◽

1980 ◽

Vol 78 (4) ◽

pp. 509-509 ◽

Author(s):

Sh. Strelitz

Keyword(s):

Differential Equations ◽

Algebraic Differential Equations ◽

First Order ◽

Order Algebraic ◽

Growth Of Solutions

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On the Power of Quantifiers in First-Order Algebraic Specification

Computer Science Logic - Lecture Notes in Computer Science ◽

10.1007/10703163_4 ◽

1999 ◽

pp. 45-57

Author(s):

David Kempe ◽

Arno Schönegge

Keyword(s):

Algebraic Specification ◽

First Order ◽

Order Algebraic

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