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Analytic theory of linear differential systems

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Japan-United States Seminar on Ordinary Differential and Functional Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 243))

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References

  1. E.A. Coddington and N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955.

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  2. W.A. Harris, Jr., Characterizations of linear differential systems with a regular singular point, Proc. Edinburgh Math. Soc. (to appear).

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  3. W. A. Harris, Jr., Y. Sibuya, and L. Weinberg, Holomorphic solutions of linear differential systems at singular points, Arch, Rational Mech. Anal. 35, 245–248 (1969).

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  4. P. Hartman, Ordinary differential equation, J. Wiley and Sons, New York, 1964.

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  5. W.B. Jurkat and D.A. Lutz, On the order of solutions of analytic differential equation, Proc. London Math. Soc. 22, 465–482 (1971).

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  6. D.A. Lutz, Some characterizations of systems of linear differential equations having regular singular solutions, Trans. Amer. Math. Soc. 126, 427–441 (1967).

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  7. D.A. Lutz, On systems of linear differential equations having regular singular solutions, J. of Differential Equations 3, 311–322 (1967).

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  8. D.A. Lutz, On the reduction of rank of linear differential system, Pacific J. Math. (to appear).

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  9. J. Moser, The order of a singularity in Fuchs' theory, Math. Z. 72, 379–398 (1960).

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  10. H.L. Turrittin, Reducing the rank of ordinary differential equations, Duke Math. J. 30, 271–274 (1963).

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  11. W. Wasow, Asymptotic expansions for ordinary differential equations, J. Wiley and Sons, New York, 1965.

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Authors

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Minoru Urabe

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© 1971 Springer-Verlag

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Harris, W.A. (1971). Analytic theory of linear differential systems. In: Urabe, M. (eds) Japan-United States Seminar on Ordinary Differential and Functional Equations. Lecture Notes in Mathematics, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058731

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  • DOI: https://doi.org/10.1007/BFb0058731

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05708-6

  • Online ISBN: 978-3-540-37080-2

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