A general theory of invariants for meromorphic differential equations. I. Formal invariants

1 Balser, W.; Jurkat, W. B.; Lutz, D. A., Birkhoff invariants and Stokes' Multipliers for meromorphic linear differential equations, accepted for publication in J. Math. Anal. Appl. MR0545861

2 Birkhoff, G. D. The generalized Riemann problem for linear differential equations and the allied problems for linear difference and $q$-difference equations Proc. Amer. Acad. Arts and Sci. 49 1913 531-568 Data is not found in MathSci. Cache/Bi/Birkhoff,generalized,Proc*,1913,1914

3 Coddington, E. A.; Levinson, N. Theory of Ordinary Differential Equations McGraw-Hill, New York 1955 MR0069338 100 Cache/Co/Coddington,Ordinary,*,1955,1956 xii+429

4 Cope, F. T. Formal solutions of irregular linear differential equations, Part I Amer. J. Math. 56 1934 411-437 MR1507034 100 Cache/Co/Cope,equations,Part,Amer*,1936,1937

4 Cope, F. T. Formal solutions of irregular linear differential equations, Part II Amer. J. Math. 58 1936 130-140 MR1507137 100 Cache/Co/Cope,equations,Part,Amer*,1936,1937

5 Gantmacher, F. R. Theory of Matrices, Vol. I & II Chelsea, New York 1959 MR0107649 83 Cache/Ga/Gantmacher,Matrices,Vol,*,1959,1960 ix+317

6 Gérard, R.; Levelt, A. H. M. Invariants measurant l'irrégularité en un point singulier des systemes d'équations différentialles linéares Ann. Inst. Fourier 23 1973 157-195 MR0346221 75 Cache/Ge/Gérard,Invariants,Ann*,1973,1974

7 Jurkat, W. B.; Lutz, D. A.; Peyerimhoff, A. Birkhoff invariants and effective calculations for meromorphic linear differential equations J. Math. Anal. Appl. 53 1976 438-470 MR0399544 Cache/Ju/Jurkat,equations,Part,*,1976,1977

8 Jurkat, W. B.; Lutz, D. A.; Peyerimhoff, A. Birkhoff invariants and effective calculations for meromorphic linear differential equations, Part II Houston Jour. Math. 2 1976 207-238 MR0399545 Cache/Ju/Jurkat,equations,Part,*,1976,1977

9 Jurkat, W. B. Meromorphe Differentialgleichungen "Enstanden aus einer Vorlesung im Sommersemester 1977 in Ulm", Lecture Notes in Mathematics, Vol. 637 (entire volume), Springer-Verlag, Berlin-Heidelberg-New York 1977 MR0494886 100 Cache/Ju/Jurkat,Differentialgleichungen,,*,1977,1978 vii+194

10 Levelt, A. H. M. Jordan decomposition for a class of singular differential operators Ark. Mat. 13 1975 1-27 MR0500294 100 Cache/Le/Levelt,decomposition,Ark*,1975,1976

11 MacDuffee, C. C. Theory of Matrices Chelsea. New York (corrected reprint of First Edition) 000 Data is not found in MathSci. Cache/Ma/MacDuffee,Matrices,*,1974,1984 12 Sibuya, Y. Linear Differential Equations in the Complex Domain; Problems of Analytic Continuation Kinokuniya, Tokyo 1976 (in Japanese) 000 MR1084379 Cache/Si/Sibuya,Linear,*,1976,1977

13 Sibuya, Y. Stokes' Phenomena Bull. Amer. Math. Soc. 83 1977 1075-1077 MR0442337 100 Cache/Si/Sibuya,Phenomena,Bull*,1977,1978

14 Trjitzinsky, W. J. Analytic theory of linear differential equations Acta Math. 62 1933 167-226 MR1555383 Cache/Tr/Trjitzinsky,Analytic,Acta*,1933,1934

15 Turrittin, H. L. Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point Acta Math. 93 1955 27-66 MR0068689 100 Cache/Tu/Turrittin,homogeneous,Acta*,1955,1956

16 Turrittin, H. L. Reduction of ordinary differential equations to the Birkhoff canonical form Trans. Amer. Math. Soc. 107 1963 485-507 MR0150367 100 Cache/Tu/Turrittin,Reduction,Trans*,1963,1964

17 Wasow, W. Asymptotic expansions for ordinary differential equations J. Wiley-Interscience, New York 1965 MR0203188 100 Cache/Wa/Wasow,Asymptotic,*,1965,1966 ix+362