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Partial total boundedness of solutions to systems of differential equations with partly controlled initial conditions

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Abstract

The notions of partial total boundedness of solutions with partially controlled initial conditions and of partial total equiboundedness of solutionswith partially controlled initial conditions are introduced. The direct Lyapunov method and the method of Lyapunov vector functions are used to obtain sufficient conditions for these types of boundedness of the solutions.

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  1. Evseviev Mordovinian State Pedagogical Institute, Saransk, Russia

    K. S. Lapin

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  1. K. S. Lapin
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Correspondence to K. S. Lapin.

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Original Russian Text © K. S. Lapin, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 2, pp. 239–247.

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Lapin, K.S. Partial total boundedness of solutions to systems of differential equations with partly controlled initial conditions. Math Notes 99, 253–260 (2016). https://doi.org/10.1134/S0001434616010272

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  • DOI: https://doi.org/10.1134/S0001434616010272

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