On the representation of solutions of anticipating linear partial stochastic differential equations
The unique solution of an anticipating linear partial stochastic differential equation is constructed by means of the Fourier transformation.
Saved in:
| Date: | 2007 |
|---|---|
| ISSN: | 0321-3900 |
| Main Author: | Ilchenko, A.V. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4505 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the representation of solutions of anticipating linear partial stochastic differential equations / A.V. Ilchenko // Theory of Stochastic Processes. — 2007. — Т. 13 (29), № 3. — С. 38–47. — Бібліогр.: 6 назв.— англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
On the stability of the solution of the linear autonomous stochastic partial differential equation with external random disturbances
by: V. K. Yasynskyi, et al.
Published: (2014)
by: V. K. Yasynskyi, et al.
Published: (2014)
Asymptotic of the Second Moment of the Solution of Linear Autonomous Stochastic Partial Differential Equation with External Random Perturbations
by: V. K. Yasynskyi, et al.
Published: (2017)
by: V. K. Yasynskyi, et al.
Published: (2017)
In exciting anticipation
by: V. M. Loktiev
Published: (2015)
by: V. M. Loktiev
Published: (2015)
On existence of solution of the Cauchy problem for nonlinear stochastic partial differential-difference equations of neutral type
by: V. K. Yasynskyi, et al.
Published: (2021)
by: V. K. Yasynskyi, et al.
Published: (2021)
Stochastic stability of a class of partial differential equations of thermoelasticity
by: Krol, M.
Published: (2008)
by: Krol, M.
Published: (2008)
On existence and stabization of the strong solution of the autonomous stochastic partial differential Ito–Skorokhod equation with random parameters
by: V. K. Yasynskyy, et al.
Published: (2018)
by: V. K. Yasynskyy, et al.
Published: (2018)
Smoothing Problem in Anticipating Scenario
by: Dorogovtsev A.A.
Published: (2005)
by: Dorogovtsev A.A.
Published: (2005)
Representation of solutions of systems of linear differential equations with multiple delays and linear parts given by nonpermutable matrices
by: M. Medved, et al.
Published: (2016)
by: M. Medved, et al.
Published: (2016)
Representation of solutions of systems of linear differential equations with multiple delays and linear parts given by nonpermutable matrices
by: Medveď, M., et al.
Published: (2016)
by: Medveď, M., et al.
Published: (2016)
Solution of stochastic differential equation for control problem
by: K. G. Dzjubenko
Published: (2015)
by: K. G. Dzjubenko
Published: (2015)
Wqˡ-regularity of solutions to systems of partial differential equations
by: Kopylov, A.P.
Published: (2004)
by: Kopylov, A.P.
Published: (2004)
On differentiability of solution to stochastic differential equation with fractional Brownian motion
by: Mishura, Yu.S., et al.
Published: (2007)
by: Mishura, Yu.S., et al.
Published: (2007)
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
by: Tychynin, V., et al.
Published: (2007)
by: Tychynin, V., et al.
Published: (2007)
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)
On the necessary and sufficient conditions of the stability in the mean square of the strong solutions of linear stochastic differential-difference partial derivative equations subject to external perturbations of the type of random variable
by: T. O. Lukashiv, et al.
Published: (2020)
by: T. O. Lukashiv, et al.
Published: (2020)
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)
Stability of linear systems of differential equations with random jump linear solutions in Hilbert space
by: Nikitin, A.V.
Published: (2013)
by: Nikitin, A.V.
Published: (2013)
On existence of solution of the Cauchy problem for nonlinear diffusion stochastic partial differential-difference equations of neutral type with random external perturbations
by: V. K. Yasynskyi, et al.
Published: (2017)
by: V. K. Yasynskyi, et al.
Published: (2017)
Linear stochastic differential equations in the dual of a multi-Hilbertian space
by: Gawarecki, L., et al.
Published: (2008)
by: Gawarecki, L., et al.
Published: (2008)
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)
Representation of solutions of linear differential systems of second-order with constant delays
by: Z. Svoboda
Published: (2016)
by: Z. Svoboda
Published: (2016)
Representation of solutions of linear differential systems of second-order with constant delays
by: Svoboda, Z.
Published: (2016)
by: Svoboda, Z.
Published: (2016)
On the strong uniqueness of a solution to singular stochastic differential equations
by: O. V. Aryasova, et al.
Published: (2011)
by: O. V. Aryasova, et al.
Published: (2011)
European Experience of Skills Anticipation: Lessons for Ukraine
by: L. S. Lisogor
Published: (2015)
by: L. S. Lisogor
Published: (2015)
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)
The Dirichlet–Neumann problem for linear nonelliptic partial differential equations with constant coefficients
by: B. Y. Ptashnyk, et al.
Published: (2015)
by: B. Y. Ptashnyk, et al.
Published: (2015)
Boundary-value problem with mixed conditions for linear typeless partial differential equations
by: B. Y. Ptashnyk, et al.
Published: (2016)
by: B. Y. Ptashnyk, et al.
Published: (2016)
Asymptotic representation of solutions of differential equations with rightly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2017)
by: V. M. Evtukhov, et al.
Published: (2017)
Positive solutions of linear impulsive differential equations
by: Akhmet, M.U., et al.
Published: (2005)
by: Akhmet, M.U., et al.
Published: (2005)
On the Asymptotic Behavior of Solutions of Linear Differential Equations
by: Nguyen Minh Man, et al.
Published: (2003)
by: Nguyen Minh Man, et al.
Published: (2003)
Oscillatory solutions of some autonomous partial differential equations with a parameter
by: L. Herrmann
Published: (2017)
by: L. Herrmann
Published: (2017)
Oscillatory solutions of some autonomous partial differential equations with a parameter
by: Herrmann, L.
Published: (2017)
by: Herrmann, L.
Published: (2017)
The Development of System for Management of Enterprise: Diagnostic and Anticipative Approaches
by: H. Pavlovski
Published: (2017)
by: H. Pavlovski
Published: (2017)
Positivity of solution of nonhomogeneous stochastic differential equation with non-Lipschitz diffusion
by: Mishura, Y., et al.
Published: (2008)
by: Mishura, Y., et al.
Published: (2008)
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions
by: A. A. Pogorui, et al.
Published: (2016)
by: A. A. Pogorui, et al.
Published: (2016)
Solutions of some partial differential equations with variable coefficients by properties of monogenic functions
by: Pogorui, A.A., et al.
Published: (2016)
by: Pogorui, A.A., et al.
Published: (2016)
Constructing global solutions of partial differential equations with deviating arguments in the time variable
by: A. M. Samoilenko, et al.
Published: (2014)
by: A. M. Samoilenko, et al.
Published: (2014)
Asymptotic representations of solutions of differential equations with regularly and rapidly varying nonlinearities
by: V. M. Evtukhov, et al.
Published: (2017)
by: V. M. Evtukhov, et al.
Published: (2017)
National resilience of the country: strategy and tactics of anticipation of hybrid threats
by: S. I. Pyrozhkov, et al.
Published: (2021)
by: S. I. Pyrozhkov, et al.
Published: (2021)
Generalized solutions of mixed problems for first-order partial functional differential equations
by: Czernous, W.
Published: (2006)
by: Czernous, W.
Published: (2006)
Similar Items
-
On the stability of the solution of the linear autonomous stochastic partial differential equation with external random disturbances
by: V. K. Yasynskyi, et al.
Published: (2014) -
Asymptotic of the Second Moment of the Solution of Linear Autonomous Stochastic Partial Differential Equation with External Random Perturbations
by: V. K. Yasynskyi, et al.
Published: (2017) -
In exciting anticipation
by: V. M. Loktiev
Published: (2015) -
On existence of solution of the Cauchy problem for nonlinear stochastic partial differential-difference equations of neutral type
by: V. K. Yasynskyi, et al.
Published: (2021) -
Stochastic stability of a class of partial differential equations of thermoelasticity
by: Krol, M.
Published: (2008)