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Generalisation of Bendixson's theory

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Proceedings of the Symposium on Differential Equations and Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 206))

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References

  1. Bendixson, T. Sur les courbes définies par des équations différentielles, Acta Math. 24 (1901) 1–88.

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  2. Ura, T. On the flow outside a closed invariant set; stability, relative stability and saddle sets, Contr. Diff. Eqns. III (1964) 249–294.

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  3. Ura, T. Sur le courant extérieur à une région invariante, prolongements d'une caractéristique et l'ordre de stabilité, Funkcial. Ekvac. 2 (1959) 143–200.

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  4. Ura, T. and I. Kimura. Sur le courant extérieur à une région invariante; théorème de Bendixson, Comm. Math. Univ. Sancti Pauli 8 (1960) 23–39.

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  5. Zubov, V.I. The methods of A. Liapunov and their applications, Izdatel'stvo Leningradskogo Univ., Moscow, 1957. English translation AEC-tr. 4439.

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Authors
  1. T. Saito
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David Chillingworth

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© 1971 Springer-Verlag

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Saito, T. (1971). Generalisation of Bendixson's theory. In: Chillingworth, D. (eds) Proceedings of the Symposium on Differential Equations and Dynamical Systems. Lecture Notes in Mathematics, vol 206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070131

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  • DOI: https://doi.org/10.1007/BFb0070131

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05495-5

  • Online ISBN: 978-3-540-36662-1

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