Annali di Matematica Pura ed Applicata

, Volume 78, Issue 1, pp 91–103

On the stability properties of a third order system

  • G. P. Szegö
  • C. Olech
  • A. Cellina


A third order differential equation suggested by a problem in power system is considered.

The combined application of very general results, namely the topological method of Wazewski[1,3], the extension theorem[1,5] and the topological properties of attractors[1,9] leads to a complete qualiiative description of the behaviour of the solutions of the equation.


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Copyright information

© Nicola Zanichelli Editore 1968

Authors and Affiliations

  • G. P. Szegö
    • 1
  • C. Olech
    • 2
  • A. Cellina
    • 1
  1. 1.Università di MilanoMilanoItaly
  2. 2.Institut Matematiki, PANKrakowPoland

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