2017
Том 69
№ 9

All Issues

Stability and Comparison of States of Dynamical Systems with Respect to a Time-Varying Cone

Mazko A. G.

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Abstract

We investigate classes of dynamical systems in a partially ordered space with properties of monotonicity type with respect to specified cones. We propose new methods for the stability analysis and comparison of solutions of differential systems using time-varying cones. To illustrate the results obtained, we present examples using typical cones in vector and matrix spaces.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 2, pp 232-249.

Citation Example: Mazko A. G. Stability and Comparison of States of Dynamical Systems with Respect to a Time-Varying Cone // Ukr. Mat. Zh. - 2005. - 57, № 2. - pp. 198–213.

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