2017
Том 69
№ 9

All Issues

Kolomiyets V. G.

Articles: 16
Brief Communications (Ukrainian)

On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type

Kolomiets O. V., Kolomiyets V. G., Mitropolskiy Yu. A.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2003. - 55, № 5. - pp. 711-715

We prove a theorem on the application of the Bogolyubov–Mitropol'skii averaging principle to stochastic partial differential equations of the hyperbolic type.

Article (Ukrainian)

On the existence of a solution of a quasilinear mixed problem for a quasiwave equation

Kolomiyets V. G., Komashinskaya I. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 9. - pp. 1182–1185

We establish conditions for the existence and uniqueness of a solution of a quasilinear mixed problem for a quasiwave equation.

Article (Ukrainian)

On the contribution of Yu. A. Mitropol’skii to the development of asymptotic methods in nonlinear mechanics

Kolomiyets V. G., Samoilenko A. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 1. - pp. 5–10

We present a survey of the most important scientific results of Yu. A. Mitropol’skii in the fields of nonlinear differential equations, mathematical physics,and the theory of nonlinear oscil.

Article (Ukrainian)

Asymptotic methods in the theory of nonlinear random oscillations

Kolomiyets V. G., Mitropolskiy Yu. A.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1011–1016

We study applications of asymptotic methods of nonlinear mechanics and the method of Fokker-Planck-Kolmogorov equations to the investigation of random multifrequency oscillations in systems with many degrees of freedom.

Anniversaries (Russian)

Aleksey Nikolaevich Bogolyubov (on his 80th birthday)

Kolomiyets V. G., Mitropolskiy Yu. A.

Full text (.pdf)

Ukr. Mat. Zh. - 1991. - 43, № 6. - pp. 864-865

Article (Ukrainian)

Averaging of stochastic systems of integral-differential equations with "Poisson noise"

Kolomiyets V. G., Mel'nikov A. I., Mukhitdinov T. M.

Full text (.pdf)

Ukr. Mat. Zh. - 1991. - 43, № 2. - pp. 273–277

Article (Ukrainian)

Integration of the Kolmogorov?Fokker-Planck equation by generalized separation of the arguments

Kolomiyets V. G., Rybachok A. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1988. - 40, № 5. - pp. 635-639

Article (Ukrainian)

The averaging method in strongly nonlinear stochastic systems

Kolomiyets V. G., Tsikailo T. N.

Full text (.pdf)

Ukr. Mat. Zh. - 1982. - 34, № 4. - pp. 506—508

Article (Ukrainian)

Some remarks on linearization methods in the theory of nonlinear oscillations

Kolomiyets V. G.

Full text (.pdf)

Ukr. Mat. Zh. - 1981. - 33, № 1. - pp. 63–68

Article (Ukrainian)

A veraging in stochastic systems

Kolomiyets V. G., Mitropolskiy Yu. A.

Full text (.pdf)

Ukr. Mat. Zh. - 1971. - 23, № 3. - pp. 318–345

Article (Ukrainian)

On the Bogolyubov-Mitropol'skii averaging principle for a class of second order hyperbolic equations

Khoma G. P., Kolomiyets V. G.

Full text (.pdf)

Ukr. Mat. Zh. - 1970. - 22, № 3. - pp. 388–393

Article (Ukrainian)

Random oscillations of non autonomous quasilinear stochastic systems

Kolomiyets V. G.

Full text (.pdf)

Ukr. Mat. Zh. - 1968. - 20, № 3. - pp. 388–395

Article (Ukrainian)

Vibrations of systems with distributed parameters under the influence of random disturbances

Kolomiyets V. G., Vasilishin S. A.

Full text (.pdf)

Ukr. Mat. Zh. - 1967. - 19, № 3. - pp. 3–10

Brief Communications (Russian)

On a parametric random effect on linear and nonlinear oscillatory systems

Kolomiyets V. G.

Full text (.pdf)

Ukr. Mat. Zh. - 1963. - 15, № 2. - pp. 199-205

Brief Communications (Russian)

Investigation of nonlinear oscillatory systems with many degrees of freedom in the presence of random perturbations

Kolomiyets V. G.

Full text (.pdf)

Ukr. Mat. Zh. - 1962. - 14, № 4. - pp. 407-411

Brief Communications (Russian)

Parametricaction of a random force on a nonlinear oscillatory system

Kolomiyets V. G.

Full text (.pdf)

Ukr. Mat. Zh. - 1962. - 14, № 2. - pp. 211-214