Document Zbl 0484.34003

On the dimension of the zero or infinity tending sets for linear differential equations. (English) Zbl 0484.34003

Proc. Am. Math. Soc. 83, 705-709 (1981).

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MSC:

34A30	Linear ordinary differential equations and systems
34D05	Asymptotic properties of solutions to ordinary differential equations

Keywords:

complex-valued continuous functions

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References:

[1]	W. A. Coppel, Stability and asymptotic behavior of differential equations, D. C. Heath and Co., Boston, Mass., 1965. · Zbl 0154.09301
[2]	Philip Hartman, The existence of large or small solutions of linear differential equations, Duke Math. J. 28 (1961), 421 – 429. · Zbl 0102.30301
[3]	Philip Hartman, Ordinary differential equations, S. M. Hartman, Baltimore, Md., 1973. Corrected reprint. · Zbl 0281.34001
[4]	Jack W. Macki and James S. Muldowney, The asymptotic behaviour of solutions to linear systems of ordinary differential equations, Pacific J. Math. 33 (1970), 693 – 706. · Zbl 0183.36002
[5]	Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Inc., Boston, Mass., 1964. · Zbl 0247.15002
[6]	H. Milloux, Sur l’équation différentielle \( x'' + A(t)x = 0\), Prace Mat. Fiz. 41 (1934), 39-53. · Zbl 0009.16402
[7]	Binyamin Schwarz, Totally positive differential systems, Pacific J. Math. 32 (1970), 203 – 229. · Zbl 0193.04501
[8]	M. Ō. Tnūthail, Algēbar Iolscoile, Oifig an tSolāthair, Baile Ātha Cliath, 1947.

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