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Fundamental Theory:Specialized Stability and Boundedness Results on Metric Spaces

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Stability of Dynamical Systems

Part of the book series: Systems&Control: Foundations&Applications ((SCFA))

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Bibliography

  1. J. K. Hale, “Dynamical systems and stability,” J. Math. Anal. Appl., vol. 26, pp. 39–59, 1969.

    Article  MATH  MathSciNet  Google Scholar 

  2. V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, vol. I and vol. II, New York: Academic Press, 1969.

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  3. A. N. Michel and C. J. Herget, Algebra and Analysis for Engineers and Scientists, Boston: Birkhäauser, 2007.

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  4. A. N. Michel and R. K. Miller, Qualitative Analysis of Large Scale Dynamical Systems, New York: Academic Press, 1977.

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  5. A. N. Michel, K.Wang, and B. Hu, Qualitative Theory of Dynamical Systems— The Role of Stability Preserving Mappings, 2nd Edition, New York: Marcel Dekker, 2001.

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  6. R. K. Miller and A. N. Michel, Ordinary Differential Equations, New York: Academic Press, 1982.

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  7. T.Yoshizawa, Stability Theory by Liapunov’s Second Method,Tokyo: The Mathematical Society of Japan, 1966.

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  8. V. I. Zubov, Methods of A. M. Lyapunov and Their Applications, Groningen, The Netherlands: P. Noordhoff, 1964.

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Michel, A.N., Hou, L., Liu, D. (2008). Fundamental Theory:Specialized Stability and Boundedness Results on Metric Spaces. In: Stability of Dynamical Systems. Systems&Control: Foundations&Applications. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4649-3_4

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