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1

Averaging in Boundary-Value Problems for Systems of Differential and Integrodifferential Equations

Stanzhitskii, A. N., Mynbayeva, S. T., Marchuk, N. A.

Journal:

Ukrainian Mathematical Journal

Year:

2020

File:

PDF, 228 KB

2020

2

On the averaging of differential equations on an infinite interval

A. M. Samoilenko, A. N. Stanzhitskii

Journal:

Differential Equations

Year:

2006

Language:

english

File:

PDF, 269 KB

english, 2006

3

Fluctuations in the averaging scheme for differential equations with random pulsed action

A. M. Samoilenko, A. N. Stanzhitskii

Journal:

Ukrainian Mathematical Journal

Year:

1989

Language:

english

File:

PDF, 525 KB

english, 1989

4

Invariant Sets of Impulsive Systems and Their Stability

K. K. Kenzhebaev, A. N. Stanzhitskii

Journal:

Nonlinear Oscillations

Year:

2004

Language:

english

File:

PDF, 86 KB

english, 2004

5

Study of optimal control problems on the half-line by the averaging method

A. N. Stanzhitskii, T. V. Dobrodzii

Journal:

Differential Equations

Year:

2011

Language:

english

File:

PDF, 339 KB

english, 2011

6

On Invariant Tori of Itô Stochastic Systems

A. M. Samoilenko, A. N. Stanzhitskii

Journal:

Ukrainian Mathematical Journal

Year:

2002

Language:

english

File:

PDF, 153 KB

english, 2002

7

On the Existence of Periodic Solutions for Certain Classes of Systems of Differential Equations with Random Pulse Influence

N. A. Perestyuk, A. M. Samoilenko, A. N. Stanzhitskii

Journal:

Ukrainian Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 200 KB

english, 2001

8

On the second Bogolyubov theorem for systems with random perturbations

A. N. Stanzhitskii

Journal:

Ukrainian Mathematical Journal

Year:

1994

Language:

english

File:

PDF, 329 KB

english, 1994

9

Existence and Uniqueness of the Solution to the Cauchy Problem for the Stochastic Reaction-Diffusion Differential Equation of Neutral Type

Stanzhitskii, A. N., Tsukanova, A. O.

Journal:

Journal of Mathematical Sciences

Year:

2017

Language:

english

File:

PDF, 227 KB

english, 2017

10

Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions

A. M. Stanzhitskii

Journal:

Ukrainian Mathematical Journal

Year:

2001

Language:

english

File:

PDF, 77 KB

english, 2001

11

Periodic solutions of systems of differential equations with random right-hand sides

D. I. Martynyuk, V. Ya. Danilov, A. N. Stanzhitskii

Journal:

Ukrainian Mathematical Journal

Year:

1997

Language:

english

File:

PDF, 245 KB

english, 1997

12

Asymptotic equivalence of linear stochastic Itô systems and oscillation of solutions of linear second-order equations

A. N. Stanzhitskii, A. P. Krenevich, I. G. Novak

Journal:

Differential Equations

Year:

2011

Language:

english

File:

PDF, 362 KB

english, 2011

13

Averaging method and two-sided bounded solutions of Itô stochastic systems

A. M. Samoilenko, N. I. Makhmudov, A. N. Stanzhitskii

Journal:

Differential Equations

Year:

2007

Language:

english

File:

PDF, 358 KB

english, 2007

14

On invariant tori of stochastic systems on a plane

A. N. Stanzhitskii, I. N. Kopas’

Journal:

Ukrainian Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 1.09 MB

english, 1996

15

On the existence of an optimal feedback control for stochastic systems

Stanzhitskii, A. N., Samoilenko, E. A., Mogileva, V. V.

Journal:

Differential Equations

Year:

2013

Language:

english

File:

PDF, 307 KB

english, 2013

16

The Samoilenko Reduction Principle for Differential Equations with Random Perturbations

A. N. Stanzhitskii

Journal:

Differential Equations

Year:

2001

Language:

english

File:

PDF, 106 KB

english, 2001

17

Investigation of invariant sets with random perturbations with the use of the Lyapunov function

O. M. Stanzhitskii

Journal:

Ukrainian Mathematical Journal

Year:

1998

Language:

english

File:

PDF, 827 KB

english, 1998

18

The Reduction Principle in Stability Theory of Invariant Sets of Itô Stochastic Systems

A. M. Samoilenko, A. N. Stanzhitskii

Journal:

Differential Equations

Year:

2002

Language:

english

File:

PDF, 115 KB

english, 2002

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