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Liouvillian solutions of third order linear differential equations: new bounds and necessary conditions
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Source International Conference on Symbolic and Algebraic Computation archive
Papers from the international symposium on Symbolic and algebraic computation table of contents
Berkeley, California, United States
Pages: 57 - 62  
Year of Publication: 1992
ISBN:0-89791-489-9
Authors
Michael F. Singer
Felix Ulmer
Sponsors
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 0,   Downloads (12 Months): 3,   Citation Count: 1
Additional Information:

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Jerald J. Kovacic, An algorithm for solving second order linear homogeneous differential equations, Journal of Symbolic Computation, v.2 n.1, p.3-43, March 1986  [doi>10.1006/jsco.1998.0266]
 
2
Liouville, j., Sur Ia ddtermination des int4grales dont Ia valeur est alg6brique, J. de l'}~cole Polytechnique, 22, 1833.
 
3
Schlesinger, L., Handbuch der Theorie der Iinearen Differentialgleichungen, Leipzig" Teubnet 1895
 
4
Singer, M. F., LiouvilIian solutions of n~h order linear differential equations, Amer. 3. Math., 103 (1981)
 
5
Singer, M. F., Ulmer, F., Bounds and necessary conditions for liouvilIian solutions of (third order) linear differential equations, Preprint, North Carolina State University (1991)
 
6
Ulmer, F., On IiouvilIian solutions of differential equations, AAECC Journal, 2, vol. 3, Springer Verlag, 1992

CITED BY
Ruyong Feng , Xiao-shan Gao, Rational general solutions of algebraic ordinary differential equations, Proceedings of the 2004 international symposium on Symbolic and algebraic computation, p.155-162, July 04-07, 2004, Santander, Spain

INDEX TERMS

Primary Classification:
  I. Computing Methodologies
  I.1 SYMBOLIC AND ALGEBRAIC MANIPULATION
      I.1.2 Algorithms
          Subjects: Nonalgebraic algorithms

Additional Classification:
  I. Computing Methodologies
  I.1 SYMBOLIC AND ALGEBRAIC MANIPULATION


General Terms:
Algorithms

Collaborative Colleagues:
Michael F. Singer: colleagues
Felix Ulmer: colleagues

Peer to Peer - Readers of this Article have also read:

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