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On the instability of systems of differential equations

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Literatur

  1. O. Perron, Über Stabilität und asymptotisches Verhalten der Integrale von Differentialgleichungssysteme,Math. Zeitschr.,29 (1929), pp. 129–160.

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  2. Of course, it would be sufficient to require everything fort>c only.

  3. P. Turán,Eine neue Methode in der Analysis und deren Anwendungen (Budapest, 1953), p. 42. This book contains already a weak result in this direction, rather only to indicate the possibility of application of the method also in this field. The results of the present paper are, however, much stronger and also a gap in the former proof is now eliminated.

  4. This Lemma occurs in my book, p. 70 for the case since I used in only for this case.

  5. As Vera T. Sós remarked, a similar but weaker inequality can be deduced without Lemma I, using (6.8).

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Authors and Affiliations

  1. Budapest

    P. Turán (member of the Academy)

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  1. P. Turán
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Turán, P. On the instability of systems of differential equations. Acta Mathematica Academiae Scientiarum Hungaricae 6, 257–270 (1955). https://doi.org/10.1007/BF02024390

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