I had planned to give a comprehensive account of the results obtained by me and Dr. Szegö during the past few years together with related results of various authors in the field of dynamical systems. With the appearance of our lecture notes [1] this prospect is not too attractive now so that I would like to concentrate on a couple of problems and techniques which seem to hold promise. But first the following definition.


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  1. [1]
    N.P. Bhatia and G.P. Szegö, “Dynamical Systems: Stability Theory and Applications”, Lecture Notes in Mathematics No. 35, Springer-Verlag, Berlin-Heidelberg-New York, 1967.zbMATHCrossRefGoogle Scholar
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    V.V. Nemytskii and V.V. Stepanov, “Qualitative Theory of Differential Equations”, Princeton University Press, Princeton, New Jersey, 1960. Original Russian 1947.zbMATHGoogle Scholar
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    V.V. Nemytskii, Topological Problems of the Theory of Dynamical Systems, Uspehi Mat. Nauk., 4 (1949), 91–153 (Russian). English Translation: American Mathematical Society Translations No. 103 (1954)Google Scholar
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© Springer-Verlag Berlin Heidelberg 1969

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  • Nam P. Bhatia

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