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Local moduli for meromorphic differential equations
Author(s):
Donald G.
Babbitt;
V. S.
Varadarajan
Journal:
Bull. Amer. Math. Soc.
12
(1985),
95-98.
MSC (1980):
Primary 34A20
MathSciNet review:
766962
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References:
- [Be] D. Bertrand, Travaux récents sur les points singuliers des équations différentielles linéaires, Sem. Bourbaki 1978/79, Exp. 525-542, Lecture Notes in Math., no. 770, Springer-Verlag, 1980. MR 572427
- [Bi] G. D. Birkhoff, Collected mathematical papers, Vol. 1, Dover, New York, 1968.
- [BV1] D. G. Babbitt and V. S. Varadarajan, Formal reduction theory of meromorphic differential equations: a group theoretic view, Pacific J. Math. 108 (1983), 1-80. MR 716289
- [BV2] D. G. Babbitt and V. S. Varadarajan, Deformations of nilpotent matrices over rings and reduction of analytic families of meromorphic differential equations, Mem. Amer. Math. Soc. (to appear). MR 787539
- [J] W. Jurkat, Meromorphe Differentialgleichungen, Lecture Notes in Math., no. 637, Springer-Verlag, 1978. MR 494886
- [Ma1] B. Malgrange, Remarques sur les équations différentielles à points singuliers irréguliers, Lecture Notes in Math., no. 712, Springer-Verlag, 1979. MR 548145
- [Ma2] B. Malgrange, La classification des connexions irréguliers à une variable, Mathématique et Physique: Sém. École Norm. Sup. 1979-1982, Birhäuser, 1983. MR 728430
- [Maj] H. Majima, Analogues of Cartan's decomposition theorem in asymptotic analysis, Funkcial. Ekvac. 26 (1983), 131-154. MR 736897
- [MF] D. Mumford and J. Fogarty, Geometric invariant theory, 2nd Enl. Ed., Springer-Verlag, 1982. MR 719371
- [S] Y. Sibuya, Stokes phenomena, Bull. Amer. Math. Soc. 83 (1977), 1075-1077. MR 442337
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15300-5
PII:
S 0273-0979(1985)15300-5
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