Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
N.P. Bhatia and G.P. Szegö, "Dynamical Systems: Stability Theory and Applications" Lecture Note in Mathematics, vol. 35. Springer-Verlag, Berlin-Neidelberg-New York, 1967.
I. Bendixson, "Sur les courbes défines par les équations différentielles". Acta Math., Vol. 24 (1901), pp. 1–88.
T. Ura and I. Kimura, "Sur le courant extérieur à une région invariante "Théorème de Bendixson" Comm. Math. Univers. Sancti Pauli, Vol. 9 (1960), pp. 24–39.
N.P. Bhatia, "Dynamical Systems" in H.W. Kuhn and G.P. Szegö (Editors) "Mathematical Systems Theory and Economics", Springer-Verlag, Berlin-Heidelberg-New York, 1969.
N.P. Bhatia and O. Hajek, "Local Semidynamical Systems". Lecture Notes in Mathematics, Vol. 91, Springer-Verlag, Berlin, Heidelberg-New York, 1969.
G.P. Szegö and G. Treccani, "Flow without uniqueness near a compact, strongly invariant set", Boll. U.M.I., (1969) pp. 113–124.
G.P. Szegö and G. Treccani, "Semigruppi di Trasformazioni Multivoche" Lecture Notes in Mathematics, Vol. 101, Springer-Verlag, Berlin-Heidelberg-New York, 1969.
M.B. Kudaev, "Classification of Higher-dimensional system of ordinary differential equations by the method of Liapunov functions". Diff. Equations, Vol. 1, (1965), pp. 263–269.
V.V. Nemytskii, "Some general theorems on the distribution of integral curves on the plane" Vestnik Moskov. Univ., Ser. I, Mat. Meh (1960), pp. 3–10.
N.P. Bhatia, G.P. Szegö and J.A. Yorke "A Liapunov Characterization of Attractors", Boll. U.M.I., 4(1969), pp. 222–228.
G.P. Szegö and G. Treccani, "Non Continuous Liapunov Functions" Annali Mat. Pura Appl., Ser. 4, Vol. 82 (1969), pp. 1–15.
N.P. Bhatia and G.P. Szegö, "Stability Theory of Dynamical Systems" Springer-Verlag, Berlin-Heidelberg-New York (to appear).
V.I. Zubov, "The Methods of A.M. Liapunov and their Applications" Noordhoff, Groningen, 1964.
Editor information
Rights and permissions
Copyright information
© 1970 Springer-Verlag
About this paper
Cite this paper
Szegö, G.P., Treccani, G. (1970). Liapunov functions on the region of unstable weak attraction. In: Yorke, J.A. (eds) Seminar on Differential Equations and Dynamical Systems, II. Lecture Notes in Mathematics, vol 144. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059943
Download citation
DOI: https://doi.org/10.1007/BFb0059943
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-04933-3
Online ISBN: 978-3-540-36306-4
eBook Packages: Springer Book Archive