On Renewal Equations Appearing in Some Problems in the Theory of Generalized Diffusion Processes
We construct a Wiener process on a plane with semipermeable membrane located on a fixed circle and acting in the normal direction. The construction method takes into account the symmetry properties of both the circle and the Wiener process. For this reason, the method is reduced to the perturbation...
Saved in:
| Date: | 2005 |
|---|---|
| Main Authors: | Portenko, N. I., Портенко, М. І. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2005
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3686 |
| 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
On integro-differential equations for distribution of probabilities of additive functionals of diffusion processes
by: Portenko, N. I., et al.
Published: (1966)
by: Portenko, N. I., et al.
Published: (1966)
On Some Consequences of the Equation for the Markov Renewal Function of a Semi-Markov Process
by: Bondarenko, G. I., et al.
Published: (2004)
by: Bondarenko, G. I., et al.
Published: (2004)
On Multidimensional Generalized Diffusion Processes
by: Shevchenko, H. M., et al.
Published: (2003)
by: Shevchenko, H. M., et al.
Published: (2003)
Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia
by: Lavrenyuk, S. P., et al.
Published: (2006)
by: Lavrenyuk, S. P., et al.
Published: (2006)
One example of a random change of time that transforms a generalized diffusion process into an ordinary one
by: Aryasova, O.V., et al.
Published: (2007)
by: Aryasova, O.V., et al.
Published: (2007)
Symmetric α-stable stochastic process and the third
initial-boundary-value problem for the corresponding pseudodifferential equation
by: Osipchuk, M. M., et al.
Published: (2017)
by: Osipchuk, M. M., et al.
Published: (2017)
Splitting of two-point boundary problem appearing in the theory of optimal control
by: Kurina , G. A., et al.
Published: (1992)
by: Kurina , G. A., et al.
Published: (1992)
Diffusion-absorption equation with general data
by: Gladkov, A.L., et al.
Published: (2000)
by: Gladkov, A.L., et al.
Published: (2000)
Entropy production in bounded systems in the facilitated diffusion process. General equation for flows
by: L. A. Bulavin, et al.
Published: (2012)
by: L. A. Bulavin, et al.
Published: (2012)
On generalized solutions of boundary value problems for some general differential equations
by: Burskii, V.P.
Published: (1999)
by: Burskii, V.P.
Published: (1999)
Limit theorems for the number of crossings of a fixed plane by certain sequences of generalized dbffusion processes
by: Goshko, L. V., et al.
Published: (1994)
by: Goshko, L. V., et al.
Published: (1994)
A Probabilistic Representation for the Solution of One Problem of Mathematical Physics
by: Portenko, N. I., et al.
Published: (2000)
by: Portenko, N. I., et al.
Published: (2000)
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)
General solution of Pauli master equation and applications to diffusive transport
by: T. E. Korochkova, et al.
Published: (2018)
by: T. E. Korochkova, et al.
Published: (2018)
Generalized diffusion equation in the fractional derivatives in Renyi statistics
by: P. Kostrobii, et al.
Published: (2016)
by: P. Kostrobii, et al.
Published: (2016)
Inverse Cauchy problem for fractional diffusion equation with generalized functions in the right-hand sides
by: H. P. Lopushanska, et al.
Published: (2016)
by: H. P. Lopushanska, et al.
Published: (2016)
Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A.M.
Published: (2011)
by: Samoilenko, A.M.
Published: (2011)
Semilinear parabolic equations with superlinear reaction terms, and application to some convection-diffusion problems
by: Dall'Aglio, A., et al.
Published: (2004)
by: Dall'Aglio, A., et al.
Published: (2004)
The nonlocal problem for fractal diffusion equation
by: Ya. M. Drin, et al.
Published: (2022)
by: Ya. M. Drin, et al.
Published: (2022)
The nonlocal problem for fractal diffusion equation
by: Drin, Ya.M., et al.
Published: (2022)
by: Drin, Ya.M., et al.
Published: (2022)
On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order
by: Evtukhov, V. M., et al.
Published: (2002)
by: Evtukhov, V. M., et al.
Published: (2002)
Domestication process and appearance of world centers of animal domestication
by: A. M. Khokhlov, et al.
Published: (2017)
by: A. M. Khokhlov, et al.
Published: (2017)
Density of the transition probability for one class of generalized diffusion processes
by: Osipchuk, M. M., et al.
Published: (1998)
by: Osipchuk, M. M., et al.
Published: (1998)
The Brownian motion process with generalized diffusion matrix and drift vector
by: Kopytko, B.I., et al.
Published: (2008)
by: Kopytko, B.I., et al.
Published: (2008)
Evaluation of some renewable energy technologies
by: Basu, R.
Published: (2017)
by: Basu, R.
Published: (2017)
Generalized Cattaneo–Maxwell diffusion equation with fractional derivatives. Dispersion relations
by: P. Kostrobij, et al.
Published: (2019)
by: P. Kostrobij, et al.
Published: (2019)
On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 2
by: Chernaya, O. A., et al.
Published: (2005)
by: Chernaya, O. A., et al.
Published: (2005)
On the processes of diorthogonalization of some vector families, which appear while characteristic polynomes of matrices are being constructed and which are used for solving the systems of linear algebraic equations. 1
by: Chernaya, O. A., et al.
Published: (2005)
by: Chernaya, O. A., et al.
Published: (2005)
On some integral equations with the generalized Legendre function
by: Virchenko, N. A., et al.
Published: (1999)
by: Virchenko, N. A., et al.
Published: (1999)
A uniqueness theorem for the martingale problem describing a diffusion in media with membranes
by: Aryasova, O.V., et al.
Published: (2008)
by: Aryasova, O.V., et al.
Published: (2008)
Diffusion in media with membranes and some nonlocal parabolic problems
by: B. Kopytko, et al.
Published: (2023)
by: B. Kopytko, et al.
Published: (2023)
Diffusion in media with membranes and some nonlocal parabolic problems
by: Kopytko, Bohdan, et al.
Published: (2023)
by: Kopytko, Bohdan, et al.
Published: (2023)
Some modern aspects of the theory of impulsive differential equations
by: Perestyuk, N. A., et al.
Published: (2008)
by: Perestyuk, N. A., et al.
Published: (2008)
Appearance of Masonry in Poland and Ukraine
by: I. Rymarenko
Published: (2010)
by: I. Rymarenko
Published: (2010)
Limit theorem for multidimensional renewal equation
by: O. A. Yarova, et al.
Published: (2022)
by: O. A. Yarova, et al.
Published: (2022)
On Simple-Layer Potentials for One Class of Pseudodifferential Equations
by: Osipchuk, M. M., et al.
Published: (2015)
by: Osipchuk, M. M., et al.
Published: (2015)
Some Issues of Kinetic Theory of Radiation-Accelerated Boundary Diffusion in Polycrystalline Materials with Impurities
by: E. A. Smirnov
Published: (2013)
by: E. A. Smirnov
Published: (2013)
On the renewal of a solution of the Dirichlet boundary-value problem for a biharmonic equation
by: Shabozov, M. Sh., et al.
Published: (1998)
by: Shabozov, M. Sh., et al.
Published: (1998)
Construction of some solutions of the Couchy generalized problem for ordinary non-linear differential equations
by: Pisarenko, V. G., et al.
Published: (1971)
by: Pisarenko, V. G., et al.
Published: (1971)
Some problems of spectral theory of the second order linear differential equation with unlimited operator coefficients
by: Gorbachuk, V. I., et al.
Published: (1970)
by: Gorbachuk, V. I., et al.
Published: (1970)
Similar Items
-
On integro-differential equations for distribution of probabilities of additive functionals of diffusion processes
by: Portenko, N. I., et al.
Published: (1966) -
On Some Consequences of the Equation for the Markov Renewal Function of a Semi-Markov Process
by: Bondarenko, G. I., et al.
Published: (2004) -
On Multidimensional Generalized Diffusion Processes
by: Shevchenko, H. M., et al.
Published: (2003) -
Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia
by: Lavrenyuk, S. P., et al.
Published: (2006) -
One example of a random change of time that transforms a generalized diffusion process into an ordinary one
by: Aryasova, O.V., et al.
Published: (2007)