Martynyuk-Chernienko Yu. A.
Ukr. Mat. Zh. - 2014. - 66, № 11. - pp. 1512–1527
The paper presents a new approach to the investigation of the first-order fuzzy initial-value problems. We use different versions of the comparison principle to establish conditions for the existence of solutions of a set of differential equations.
Ukr. Mat. Zh. - 2013. - 65, № 2. - pp. 273-295
We propose a regularization procedure for a set of equations of perturbed motion with uncertain values of parameters. Using the comparison principle, we establish conditions for the existence of solutions of the original system and the regularized system.
Ukr. Mat. Zh. - 2012. - 64, № 1. - pp. 50-70
We investigate the stability of a stationary solution of a fuzzy dynamical system by a generalized Lyapunov direct method.
Ukr. Mat. Zh. - 2008. - 60, № 6. - pp. 776–782
We investigate the problem of stability of a nonlinear system on a time scale and propose a unified approach to the analysis of stability of motion based on a generalized direct Lyapunov method.
Ukr. Mat. Zh. - 1999. - 51, № 4. - pp. 458–465
We generalize the Lyapunov direct method, which can be used for establishing new conditions of the uniform asymptotic stability of solutions of an uncertain system with respect to an invariant moving set.