Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations


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Abstract

Using the higher-order derivatives of Lyapunov functions, we obtain sufficient tests of various types for the uniform-ultimate boundedness in the sense of Poisson of solutions and various types of equiultimate boundedness of solutions in the sense of Poisson.

About the authors

K. S. Lapin

Mordovian State Pedagogical Institute named after M. E. Evseviev

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

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