Some characterizations of systems of linear differential equations having regular singular solutions
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- by Donald A. Lutz PDF
- Trans. Amer. Math. Soc. 126 (1967), 427-441 Request permission
References
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
- Donald A. Lutz, On systems of linear differential equations having regular singular solutions, J. Differential Equations 3 (1967), 311–322. MR 243147, DOI 10.1016/0022-0396(67)90034-4
- J. Horn, Zur Theorie der Systeme linearer Differentialgleichungen mit einer unabhängigen Veränderlichen. II, Math. Ann. 40 (1892), no. 4, 527–550 (German). MR 1510732, DOI 10.1007/BF01445316 C. C. MacDuffee, The theory of matrices, Chelsea, New York, 1933.
- Jürgen Moser, The order of a singularity in Fuchs’ theory, Math. Z 72 (1959/1960), 379–398. MR 0117375, DOI 10.1007/BF01162962
- H. L. Turrittin, Convergent solutions of ordinary linear homogeneous differential equations in the neighborhood of an irregular singular point, Acta Math. 93 (1955), 27–66. MR 68689, DOI 10.1007/BF02392519
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 126 (1967), 427-441
- MSC: Primary 34.06
- DOI: https://doi.org/10.1090/S0002-9947-1967-0206370-7
- MathSciNet review: 0206370