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Stability of a set of trajectories of nonlinear dynamics

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References

  1. J.-P. Aubin and H. Frankowska, Set Valued Analysis (Birkhäuser, Basel, 1990).

    MATH  Google Scholar 

  2. K. Deimling, Multivalued Differential Equations (Walter de Grutyer, New York, 1992).

    MATH  Google Scholar 

  3. N. G. Chetajev, Stability of Motion: The Works on Analytical Mechanics (Acad. Nauk SSSR, Moscow, 1962), pp. 245–249.

    Google Scholar 

  4. V. Lakshmikantham and A. S. Vatsala, Nonlin. Dyn. Syst. Theory 3(2), 151–161 (2003).

    MATH  Google Scholar 

  5. V. Lakshmikantham, G. Bhaskar, and V. Devi, Theory of Set Differential Equations in a Metric Space (Florida Inst. Tech., Melbourne, USA, 2005).

    Google Scholar 

  6. A. A. Martynyuk, Stability Analysis by Liapunov’s Matrix Functions Method with Applications (Marcel Dekker, New York, 1998).

    Google Scholar 

  7. A. A. Martynyuk, Nonlinear Dyn. Syst. Theory 5(2), 157–167 (2005).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Institute of Mechanics, National Academy of Sciences of Ukraine, ul. Nesterova 3, Kiev, 03057, Ukraine

    A. A. Martynyuk

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  1. A. A. Martynyuk
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Original Russian Text © A.A. Martynyuk, 2007, published in Doklady Akademii Nauk, 2007, Vol. 414, No. 3, pp. 299–303.

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Martynyuk, A.A. Stability of a set of trajectories of nonlinear dynamics. Dokl. Math. 75, 385–389 (2007). https://doi.org/10.1134/S1064562407030155

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