Cauchy problem with Riesz operator of fractional differentiation
In the class of generalized functions of finite order, we establish the correct solvability of the Cauchy problem for a pseudodifferential equation whose symbols are homogeneous functions of order γ > 0. We prove a theorem on the localization property of a solution of this probl...
Saved in:
| Date: | 2005 |
|---|---|
| Main Authors: | Litovchenko, V. A., Літовченко, В. А. |
| 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/3716 |
| 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 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)
Classic solutions to the equation of local fluctuations of the Riesz gravitational fields and their properties
by: Litovchenko , V. A., et al.
Published: (2022)
by: Litovchenko , V. A., et al.
Published: (2022)
On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002)
by: Litovchenko, V. A., et al.
Published: (2002)
Correct Solvability of the Cauchy Problem for One Equation of Integral Form
by: Litovchenko, V. A., et al.
Published: (2004)
by: Litovchenko, V. A., et al.
Published: (2004)
Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in S-Type Spaces
by: Litovchenko, V. A., et al.
Published: (2002)
by: Litovchenko, V. A., et al.
Published: (2002)
Cauchy problem for one class of pseudodifferential systems with entire analytic symbols
by: Litovchenko, V. A., et al.
Published: (2006)
by: Litovchenko, V. A., et al.
Published: (2006)
One method for the investigation of the fundamental solution of the Cauchy
problem for parabolic systems
by: Litovchenko, V. A., et al.
Published: (2018)
by: Litovchenko, V. A., et al.
Published: (2018)
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)
Fundamental solution of the Cauchy problem for a class of degenerate parabolic pseudo-differential equations
by: V. A. Litovchenko
Published: (2013)
by: V. A. Litovchenko
Published: (2013)
Problems for equations with special parabolic operator of fractional differentiation
by: Matychuk, M. I., et al.
Published: (2009)
by: Matychuk, M. I., et al.
Published: (2009)
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)
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)
Classic solutions to the equation of local fluctuations of the Riesz gravitational fields and their properties
by: V. A. Litovchenko
Published: (2022)
by: V. A. Litovchenko
Published: (2022)
An extremal problem for the invariant differential operators on a class of Cauchy-type integrals
by: V. V. Savchuk, et al.
Published: (2021)
by: V. V. Savchuk, et al.
Published: (2021)
Space-time fractional Cauchy problem in spaces of generalized functions
by: Lopushanskaya, G. P., et al.
Published: (2012)
by: Lopushanskaya, G. P., et al.
Published: (2012)
Problem nonlocal in time for the evolutionary equation with the fractional differentiation operator
by: V. V. Horodetskyi, et al.
Published: (2021)
by: V. V. Horodetskyi, et al.
Published: (2021)
Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient
by: Il'chenko, Yu. V., et al.
Published: (2011)
by: Il'chenko, Yu. V., et al.
Published: (2011)
Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus
by: Ivasyshen, S. D., et al.
Published: (2010)
by: Ivasyshen, S. D., et al.
Published: (2010)
Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type with positive genus
by: Ivasyshen, S. D., et al.
Published: (2009)
by: Ivasyshen, S. D., et al.
Published: (2009)
On the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operator
by: Šremr, J., et al.
Published: (2007)
by: Šremr, J., et al.
Published: (2007)
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)
Singular perturbations of fractionally-differential operators on the circle
by: V. M. Molyboha
Published: (2015)
by: V. M. Molyboha
Published: (2015)
A noncompact variational problem in the theory of riesz potentials. II
by: Zorii, N. V., et al.
Published: (1996)
by: Zorii, N. V., et al.
Published: (1996)
Fundamental solution of the Cauchy problem for the
Shilov-type parabolic systems with coefficients of bounded smoothness
by: Litovchenko, V. A., et al.
Published: (2017)
by: Litovchenko, V. A., et al.
Published: (2017)
Principle of localization of solutions of the Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type
by: Litovchenko, V. A., et al.
Published: (2010)
by: Litovchenko, V. A., et al.
Published: (2010)
Investigation of the Cauchy problem for stochastic partial differential equations
by: Perun, H. M., et al.
Published: (1993)
by: Perun, H. M., et al.
Published: (1993)
Boundedness of Riesz-type potential operators on variable exponent Herz–Morrey spaces
by: J.-L. Wu
Published: (2017)
by: J.-L. Wu
Published: (2017)
Boundedness of Riesz-type potential operators on variable exponent Herz – Morrey
spaces
by: Wu, Jianglong, et al.
Published: (2017)
by: Wu, Jianglong, et al.
Published: (2017)
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)
One method for the investigation of the fundamental solution of the Cauchy problem for parabolic systems
by: V. A. Litovchenko
Published: (2018)
by: V. A. Litovchenko
Published: (2018)
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)
Fundamental solution of the Cauchy problem for (p,h) - parabolic systems with variable coefficients
by: V. A. Litovchenko
Published: (2018)
by: V. A. Litovchenko
Published: (2018)
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)
On the almost-everywhere convergence of the Riesz means of double orthogonal series
by: Andrienko, V. A., et al.
Published: (1999)
by: Andrienko, V. A., et al.
Published: (1999)
Pursuit problem for fractional differential systems with pure delay
by: L. V. Baranovska
Published: (2022)
by: L. V. Baranovska
Published: (2022)
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)
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)
Point interactions on the line and Riesz bases of δ -functions
by: Kovalev, Yu. G., et al.
Published: (2017)
by: Kovalev, Yu. G., et al.
Published: (2017)
Point interactions on the line and Riesz bases of δ-functions
by: Yu. H. Kovalov
Published: (2017)
by: Yu. H. Kovalov
Published: (2017)
Similar Items
-
On the generalized Cauchy problem for the evolutionary equation with operator of fractional differentiation
by: V. V. Horodetskyi, et al.
Published: (2020) -
Classic solutions to the equation of local fluctuations of the Riesz gravitational fields and their properties
by: Litovchenko , V. A., et al.
Published: (2022) -
On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002) -
Correct Solvability of the Cauchy Problem for One Equation of Integral Form
by: Litovchenko, V. A., et al.
Published: (2004) -
Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in S-Type Spaces
by: Litovchenko, V. A., et al.
Published: (2002)