Investigation of the Cauchy problem for stochastic partial differential equations
It is shown that the solutions of stochastic linear parabolic equations with Poisson perturbations are stabilized in the mean square. The problem of determining the reserve of stability for a rod under random perturbations is studied.
Saved in:
| Date: | 1993 |
|---|---|
| Main Authors: | Perun, H. M., Yasinsky, V. K., Перун, Г. М., Ясинский, В. К. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5928 |
| 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
Problem with pulse action for a linear stochastic parabolic equation of higher order
by: Perun, H. M., et al.
Published: (2008)
by: Perun, H. M., et al.
Published: (2008)
The Cauchy problem for a stochastic parabolic equation with a deviation of the argument
by: H. M. Perun, et al.
Published: (2022)
by: H. M. Perun, et al.
Published: (2022)
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)
Исследование задачи Коши для стохастических уравнений в частных производны
by: Перун, Г.М., et al.
Published: (1993)
by: Перун, Г.М., et al.
Published: (1993)
Стохастическая m-точечная задача Коши для параболического уравнения с полувинеровскими возмущениями
by: Перун, Г.М., et al.
Published: (2018)
by: Перун, Г.М., et al.
Published: (2018)
Stochastic -point Cauchy problem of parabolic type with semidiffusion perturbations
by: G. M. Perun, et al.
Published: (2018)
by: G. M. Perun, et al.
Published: (2018)
Theorem of the «fork» in Cauchy’s problem for nonlinear partial differential equations of higher orders
by: Kovach, Y. I., et al.
Published: (1966)
by: Kovach, Y. I., et al.
Published: (1966)
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)
Qualitative investigation of a singular Cauchy problem for a functional differential equation
by: Zernov, A. E., et al.
Published: (2005)
by: Zernov, A. E., et al.
Published: (2005)
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)
Existence and uniqueness of solution to the Cauchy problem for neutral stochastic differential equation of reaction-diffusion type
by: A. N. Stanzhitskij, et al.
Published: (2016)
by: A. N. Stanzhitskij, et al.
Published: (2016)
On the representation of solutions of anticipating linear partial stochastic differential equations
by: Ilchenko, A.V.
Published: (2007)
by: Ilchenko, A.V.
Published: (2007)
Stochastic stability of a class of partial differential equations of thermoelasticity
by: Krol, M.
Published: (2008)
by: Krol, M.
Published: (2008)
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)
Stabilization of the Cauchy problem for integro-differential equations
by: Kengne, E., et al.
Published: (2005)
by: Kengne, E., et al.
Published: (2005)
Stabilization of the Cauchy problem for integro-differential equations
by: Kengne, E., et al.
Published: (2005)
by: Kengne, E., et al.
Published: (2005)
Estimation of an Unknown Parameter in the Cauchy Problem for a First-Order Partial Differential Equation under Small Gaussian Perturbations
by: Bondarev, B. V., et al.
Published: (2000)
by: Bondarev, B. V., et al.
Published: (2000)
Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations
by: Schneider, B.
Published: (2006)
by: Schneider, B.
Published: (2006)
Some properties of a Cauchy-type integral for the Moisil-Theodoresco system of partial differential equations
by: Schneider, B., et al.
Published: (2006)
by: Schneider, B., et al.
Published: (2006)
Multipoint Problem with Multiple Nodes for Partial Differential Equations
by: Ptashnik, B. I., et al.
Published: (2003)
by: Ptashnik, B. I., et al.
Published: (2003)
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)
Задача з імпульсною дією для лінійного стохастичного параболічного рівняння вищого порядку
by: Перун, Г.М.
Published: (2008)
by: Перун, Г.М.
Published: (2008)
Upper and Lower Bounds of a Solution of the Cauchy Problem for a Stochastic Differential Equation of Parabolic Type with Power Nonlinearities (Weak Source)
by: Mel'nik, S. A., et al.
Published: (2002)
by: Mel'nik, S. A., et al.
Published: (2002)
On the generalized Cauchy problem for the evolutionary equation with operator of fractional differentiation
by: V. V. Horodetskyi, et al.
Published: (2020)
by: V. V. Horodetskyi, et al.
Published: (2020)
Solution of stochastic differential equation for control problem
by: K. G. Dzjubenko
Published: (2015)
by: K. G. Dzjubenko
Published: (2015)
Criteria for the Well-Posedness of the Cauchy Problem for Differential Operator Equations of Arbitrary Order
by: Vlasenko, L. A., et al.
Published: (2004)
by: Vlasenko, L. A., et al.
Published: (2004)
Correctness of the Cauchy problem for trinomial higher-order operator differential equations
by: Shklyar, A. Ya., et al.
Published: (1993)
by: Shklyar, A. Ya., et al.
Published: (1993)
On the Stabilization of a Solution of the Cauchy Problem for One Class of Integro-Differential Equations
by: Kulinich, G. L., et al.
Published: (2004)
by: Kulinich, G. L., et al.
Published: (2004)
On generalized Cauchy problem for one class of differential equation of infinite order
by: Horodets’kyi , V. V., et al.
Published: (2020)
by: Horodets’kyi , V. V., et al.
Published: (2020)
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)
Multipoint Problem for Nonisotropic Partial Differential Equations with Constant Coefficients
by: Ptashnik, B. I., et al.
Published: (2003)
by: Ptashnik, B. I., et al.
Published: (2003)
Representation and investigation of solutions of a nonlocal boundary-value problem for a system of partial differential equations
by: Il'kiv, V. S., et al.
Published: (1996)
by: Il'kiv, V. S., et al.
Published: (1996)
A multipoint problem for partial integro-differential equations
by: Vasylyshyn, P. B., et al.
Published: (1998)
by: Vasylyshyn, P. B., et al.
Published: (1998)
One approach to the determination of approximate solutions of the Cauchy problem for nonlinear differential equations
by: Pelekh , Ya. M., et al.
Published: (1992)
by: Pelekh , Ya. M., et al.
Published: (1992)
Scattering problem for a multidimensional system of first-order partial differential equations
by: Nizhnik, L. P., et al.
Published: (1999)
by: Nizhnik, L. P., et al.
Published: (1999)
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)
On generalized Cauchy problem for one class of differential equation of infinite order
by: V. V. Horodetskyi, et al.
Published: (2020)
by: V. V. Horodetskyi, et al.
Published: (2020)
Existence and uniqueness of solution of the Cauchy problem for singular systems of integro-differential equations
by: Shmarda, Z., et al.
Published: (1993)
by: Shmarda, Z., et al.
Published: (1993)
Well-posedness of the cauchy problem for complete second-order operator-differential equations
by: Shklyar, A. Ya., et al.
Published: (1996)
by: Shklyar, A. Ya., et al.
Published: (1996)
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)
Similar Items
-
Problem with pulse action for a linear stochastic parabolic equation of higher order
by: Perun, H. M., et al.
Published: (2008) -
The Cauchy problem for a stochastic parabolic equation with a deviation of the argument
by: H. M. Perun, et al.
Published: (2022) -
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) -
Исследование задачи Коши для стохастических уравнений в частных производны
by: Перун, Г.М., et al.
Published: (1993) -
Стохастическая m-точечная задача Коши для параболического уравнения с полувинеровскими возмущениями
by: Перун, Г.М., et al.
Published: (2018)