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A. M. Samoilenko

National Academy of Sciences

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Ukrainian Mathematical Journal | 2015

Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System

A. M. Samoilenko; I. O. Parasyuk; B. V. Repeta

We study a dynamical analog of bifurcations of invariant tori for a system of interconnected fast phase variables and slowly varying parameters. It is shown that, in this system, due to the slow evolution of the parameters, we observe the appearance of transient processes (from the damping process to multifrequency oscillations) asymptotically close to motions on the invariant torus.

Ukrainian Mathematical Journal | 2010

Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point

V. M. Evtukhov; A. M. Samoilenko

Ukrainian Mathematical Journal | 2009

Optimal control with impulsive component for systems described by implicit parabolic operator differential equations

L. A. Vlasenko; A. M. Samoilenko

Ukrainian Mathematical Journal | 2015

Differential Equations with Bistable Nonlinearity

A. M. Samoilenko; I. L. Nizhnik

Ukrainian Mathematical Journal | 2017

Generalized Mean-Value Theorem for an Analytic Function and an Algorithm for the Evaluation of the Function of Mean Values

A. M. Samoilenko

Ukrainian Mathematical Journal | 2012

LIPSCHITZ INVARIANT TORI OF INDEFINITE-MONOTONE SYSTEMS

A. M. Samoilenko; I. O. Parasyuk; V. A. Lahoda

Ukrainian Mathematical Journal | 2012

On asymptotic equivalence of solutions of stochastic and ordinary equations

A. M. Samoilenko; O. M. Stanzhyts’kyi; I. H. Novak

Ukrainian Mathematical Journal | 2007

On solutions of linear functional differential equations with linearly transformed argument on a semiaxis

A. M. Samoilenko; N. L. Denysenko

Ukrainian Mathematical Journal | 2007

Some results of the local theory of smooth functions

A. M. Samoilenko

Ukrainian Mathematical Journal | 2018

Classical M. A. Buhl Problem, Its Pfeiffer–Sato Solutions, and the Classical Lagrange–D’Alembert Principle for the Integrable Heavenly-Type Nonlinear Equations

Ya. A. Prykarpatskyy; A. M. Samoilenko

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I. O. Lukovs’kyi

National Academy of Sciences

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M. O. Perestyuk

National Academy of Sciences

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O. M. Sharkovs’kyi

National Academy of Sciences

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V. L. Makarov

National Academy of Sciences

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V. S. Korolyuk

National Academy of Sciences

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Yu. M. Berezans’kyi

National Academy of Sciences

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A. H. Nikitin

National Academy of Sciences

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I. L. Nizhnik

National Academy of Sciences

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I. О. Parasyuk

National Academy of Sciences

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M. L. Horbachuk

National Academy of Sciences

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