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On the asymptotic behavior of a fundamental set of solutions. (English) Zbl 0419.34053


MSC:

34E05 Asymptotic expansions of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems
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References:

[1] Steven Bank, An asymptotic analog of the Fuchs regularity theorem, J. Math. Anal. Appl. 16 (1966), 138 – 151. · Zbl 0173.33703 · doi:10.1016/0022-247X(66)90192-2
[2] Steven Bank, On the instability theory of differential polynomials, Ann. Mat. Pura Appl. (4) 74 (1966), 83 – 111. · Zbl 0149.29702 · doi:10.1007/BF02416451
[3] Steven Bank, On the asymptotic behavior of solutions near an irregular singularity, Proc. Amer. Math. Soc. 18 (1967), 15 – 21. · Zbl 0219.34040
[4] -, On nth order equations having critical degree \( n\, - \,2\), Ann. Mat. Pura Appl. 77 (1967), 193-206.
[5] Steven Bank, On the structure of a fundamental set of solutions near an irregular singularity, Funkcial. Ekvac. 11 (1968), 87 – 100. · Zbl 0177.12001
[6] Walter Strodt, Contributions to the asymptotic theory of ordinary differential equations in the complex domain, Mem. Amer. Math. Soc., No. 13 (1954), 81. · Zbl 0059.07701
[7] Walter Strodt, On the algebraic closure of certain partially ordered fields, Trans. Amer. Math. Soc. 105 (1962), 229 – 250. · Zbl 0113.03301
[8] Ken-iti Takahasi, Analytic reduction of a system of differential equations to a normal form, Comment. Math. Univ. St. Paul. 22 (1973/74), no. 2, 57 – 94. · Zbl 0301.34069
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