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.

About the authors

K. S. Lapin

Evseviev Mordovinian State Pedagogical Institute

Author for correspondence.
Email: klapin@mail.ru
Russian Federation, Saransk

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