On asymptotic equivalence of solutions of stochastic and ordinary equations
For a weakly nonlinear stochastic system, we construct a system of ordinary differential equations the behavior of solutions of which at infinity is similar to the behavior of solutions of the original stochastic system.
Saved in:
| Date: | 2011 |
|---|---|
| Main Authors: | Novak, I. H., Samoilenko, A. M., Stanzhitskii, A. N., Новак, І. Г., Самойленко, А. М., Станжицький, О. М. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2011
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2788 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
Asymptotic equivalence of the solutions of the linear stochastic ito equations in the Hilbert space
by: Krenevych, A.
Published: (2007)
by: Krenevych, A.
Published: (2007)
Asymptotic equivalence of impulsive systems
by: Misyats, O. O., et al.
Published: (2007)
by: Misyats, O. O., et al.
Published: (2007)
Asymptotic equivalence of solutions of linear Itô stochastic systems
by: Krenevych, A. P., et al.
Published: (2006)
by: Krenevych, A. P., et al.
Published: (2006)
Asymptotic representations of solutions of nonautonomous ordinary differential equations: Asymptotic representations of solutions
by: Evtukhov, V. M., et al.
Published: (2019)
by: Evtukhov, V. M., et al.
Published: (2019)
Singular integral equation equivalent in the space of smooth functions
to an ordinary differential equation, method of successive approximations
for the construction of its smooth solutions and its nonsmooth solutions
by: Samoilenko, A. M., et al.
Published: (2019)
by: Samoilenko, A. M., et al.
Published: (2019)
Asymptotic representations for the solutions of nonautonomous ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2019)
by: V. M. Evtukhov, et al.
Published: (2019)
Asymptotics of Solutions of Nonautonomous Second-Order Ordinary Differential Equations Asymptotically Close to Linear Equations
by: Evtukhov, V. M., et al.
Published: (2012)
by: Evtukhov, V. M., et al.
Published: (2012)
Asymptotic behavior of solutions to nonlinear systems of ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2014)
by: V. M. Evtukhov, et al.
Published: (2014)
Approximation of solutions of stochastic differential equations with fractional Brownian motion by solutions of random ordinary differential equations
by: Ral’chenko, K. V., et al.
Published: (2010)
by: Ral’chenko, K. V., et al.
Published: (2010)
Singular integral equation equivalent in the space of smooth functions to an ordinary differential equation, method of successive approximations for the construction of its smooth solutions and its nonsmooth solutions
by: A. M. Samoilenko
Published: (2019)
by: A. M. Samoilenko
Published: (2019)
Asymptotic behavior of solutions of nonautonomous nth order ordinary differential equations
by: V. M. Evtukhov, et al.
Published: (2016)
by: V. M. Evtukhov, et al.
Published: (2016)
On the φ-asymptotic behaviour of solutions of stochastic differential equations
by: Buldygin, V.V., et al.
Published: (2008)
by: Buldygin, V.V., et al.
Published: (2008)
Asymptotic behavior of solutions of a certain class of third order ordinary differential equations
by: A. A. Stekhun
Published: (2013)
by: A. A. Stekhun
Published: (2013)
Asymptotic representations of solutions of essentially nonlinear two-dimensional systems of ordinary differential equations
by: Evtukhov, V. M., et al.
Published: (2009)
by: Evtukhov, V. M., et al.
Published: (2009)
Asymptotic behavior of solutions of ordinary differential equations of the nth order with regularly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2018)
by: V. M. Evtukhov, et al.
Published: (2018)
Asymptotic behaviour of the solution of Cauchy’s problem for stochastic equation of parabolic type
by: Dorogovtsev , A. Ya., et al.
Published: (1988)
by: Dorogovtsev , A. Ya., et al.
Published: (1988)
Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order $n$ with Regularly Varying Nonlinearities
by: Evtukhov, V. M., et al.
Published: (2013)
by: Evtukhov, V. M., et al.
Published: (2013)
On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces
by: Nguyen Sinh Bay, et al.
Published: (2008)
by: Nguyen Sinh Bay, et al.
Published: (2008)
On the asymptotic equilibrium and asymptotic equivalence of differential equations in Banach spaces
by: Nguyen, The Hoan, et al.
Published: (2008)
by: Nguyen, The Hoan, et al.
Published: (2008)
Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A. M., et al.
Published: (2011)
by: Samoilenko, A. M., et al.
Published: (2011)
Asymptotic behavior of solutions of stochastic functional-differential equations with Poisson switchings
by: Gotinchan, G. I., et al.
Published: (1998)
by: Gotinchan, G. I., et al.
Published: (1998)
PRV property and the asymptotic behaviour of solutions of stochastic differential equations
by: Buldygin, V.V., et al.
Published: (2005)
by: Buldygin, V.V., et al.
Published: (2005)
Asymptotic stability of solutions of systems of stochastic differential equations in the critical case
by: Yurchenko, I. V., et al.
Published: (1995)
by: Yurchenko, I. V., et al.
Published: (1995)
On the Asymptotic Properties of Solutions of Linear Stochastic Differential Equations in $R^d$
by: Buldygin, V. V., et al.
Published: (2000)
by: Buldygin, V. V., et al.
Published: (2000)
Asymptotic representations of solutions of essentially nonlinear systems of ordinary differential equations with regularly and rapidly varying nonlinearities
by: Evtukhov, V. M., et al.
Published: (2012)
by: Evtukhov, V. M., et al.
Published: (2012)
Asymptotic Representations for Some Classes of Solutions of Ordinary Differential Equations of Order n with Regularly Varying Nonlinearities
by: V. M. Evtukhov, et al.
Published: (2013)
by: V. M. Evtukhov, et al.
Published: (2013)
Investigation of Exponential Dichotomy of Itô Stochastic Systems by Using Quadratic Forms
by: Stanzhitskii, A. N., et al.
Published: (2001)
by: Stanzhitskii, A. N., et al.
Published: (2001)
Investigation of Invariant Sets of Itô Stochastic Systems with the Use of Lyapunov Functions
by: Stanzhitskii, A. N., et al.
Published: (2001)
by: Stanzhitskii, A. N., et al.
Published: (2001)
Asymptotic Equivalence of Triangular Differential Equations in Hilbert Spaces
by: Dang Dinh Chau, et al.
Published: (2005)
by: Dang Dinh Chau, et al.
Published: (2005)
Asymptotic Equivalence of Triangular Differential Equations in Hilbert Spaces
by: Dang, Dinh Chau, et al.
Published: (2005)
by: Dang, Dinh Chau, et al.
Published: (2005)
On the reducibility of a system of ordinary differential equations in the vicinity of a smooth integral manifold
by: Samoilenko, A. M., et al.
Published: (1966)
by: Samoilenko, A. M., et al.
Published: (1966)
Asymptotic $Σ$-solutions to singularly perturbed
Benjamin – Bona – Mahony equation with variable coefficients
by: Samoilenko, V. G., et al.
Published: (2018)
by: Samoilenko, V. G., et al.
Published: (2018)
On the Sign of Solutions of Systems of Ordinary Differential Equations
by: Kalinowski, J.
Published: (2002)
by: Kalinowski, J.
Published: (2002)
On the Sign of Solutions of Systems of Ordinary Differential Equations
by: Kalinowski, J., et al.
Published: (2002)
by: Kalinowski, J., et al.
Published: (2002)
Bounds for the Periods of Periodic Solutions of Ordinary Differential Equations
by: A. O. Ignatev
Published: (2015)
by: A. O. Ignatev
Published: (2015)
Extendability of solutions of ordinary differential equations in stability problems
by: V. N. Nespirnyj
Published: (2014)
by: V. N. Nespirnyj
Published: (2014)
Mean-square asymptotic stability of solutions of systems of stochastic differential equations with random operators
by: Yurchenko, I. V., et al.
Published: (1995)
by: Yurchenko, I. V., et al.
Published: (1995)
Extendability of solutions of ordinary differential equations in stability problems
by: V. E. Puzyrev, et al.
Published: (2014)
by: V. E. Puzyrev, et al.
Published: (2014)
The Lyapunov direct method in the theory of asymptotic equivalence of differential equations
by: Voskresensky , E. V., et al.
Published: (1991)
by: Voskresensky , E. V., et al.
Published: (1991)
Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients
by: Samoilenko, V. G., et al.
Published: (2007)
by: Samoilenko, V. G., et al.
Published: (2007)
Similar Items
-
Asymptotic equivalence of the solutions of the linear stochastic ito equations in the Hilbert space
by: Krenevych, A.
Published: (2007) -
Asymptotic equivalence of impulsive systems
by: Misyats, O. O., et al.
Published: (2007) -
Asymptotic equivalence of solutions of linear Itô stochastic systems
by: Krenevych, A. P., et al.
Published: (2006) -
Asymptotic representations of solutions of nonautonomous ordinary differential equations: Asymptotic representations of solutions
by: Evtukhov, V. M., et al.
Published: (2019) -
Singular integral equation equivalent in the space of smooth functions
to an ordinary differential equation, method of successive approximations
for the construction of its smooth solutions and its nonsmooth solutions
by: Samoilenko, A. M., et al.
Published: (2019)