Abstract
In this chapter we consider an old problem of Olech (which is equivalent to a global univalent problem in R2) on the global stability of an autonomous system on the plane and extend a result of Olech using some of the recent global univalent theorems (see [52]). We present also a variety of examples to show the sharpness of the results. In the second half of this chapter we present the results obtained by Vidossich [71] in this direction.
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© 1983 Springer-Verlag
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Parthasarathy, T. (1983). On the global stability of an autonomous system on the plane. In: On Global Univalence Theorems. Lecture Notes in Mathematics, vol 977. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065573
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DOI: https://doi.org/10.1007/BFb0065573
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11988-3
Online ISBN: 978-3-540-39462-4
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