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Publication Cover
Applicable Analysis
An International Journal
Volume 23, 1986 - Issue 3
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Original Articles

Positive definite functions in stability theory

Zhivko S. Athanassov Institute of Mathematics, Polish Academy of Sciences, 00-950 Warsha, Sniadeckich 8, Poland
Pages 159-164 | Received 28 Apr 1986, Published online: 02 May 2007

References

  • Liapunov , A.M. 1947 . Probleme general de la stabilite du mouvement , Princeton University Press .
  • Malkin , I.G. 1952 . Theory of Stability of Hotion , Moscow-Leningrad : Russian, Gos. Izd. Tehn. Lit. .
  • Chetaev , N.G. 1956 . Stability of Motion , Moscow-Leningrad : Russian, Gos. Izd, Tehn. Lit. .
  • Krasovskii , N.N. 1959 . Certain Problems of the Theory of Stability of Motion , Moscow : Russian, Gos. Izd. Fiz. - mat. Lit. .
  • Antosiewicz , H.A. 1958 . A survey of Lyapunov's second method . Ann. Math. Studies , 41 : 141 – 166 .
  • Hahn , W. 1959 . Theorie und Anwendung der direkten Methode von Ljapunov . Ergebn. Math. Grenzgeb , 22
  • Hahn , W. 1967 . Stability of Motion , New York : Springer-Verlag .
  • Lakshmikantham , V. and Leela , S. 1969 . Differential Ine¬qualities , New York : Academic Press .
  • Rouche , N. , Habets , P. and Laloy , M. 1977 . Stability Theory by Liapunov’s Direct Method , New York : Springer-Verlag .

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