Cauchy problem for one class of pseudodifferential systems with entire analytic symbols
Using functions convex downward, we describe a class of pseudodifferential systems with entire analytic symbols that contains Éidel’man parabolic systems of partial differential equations with continuous time-dependent coefficients. We prove a theorem on the correct solvability of the Cauchy problem...
Saved in:
| Date: | 2006 |
|---|---|
| Main Authors: | Litovchenko, V. A., Літовченко, В. А. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2006
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3523 |
| 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
A Cauchy problem for evolution pseudodifferential equations with variable symbols
by: V. V. Horodetskyi, et al.
Published: (2014)
by: V. V. Horodetskyi, et al.
Published: (2014)
On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002)
by: Litovchenko, V. A., et al.
Published: (2002)
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)
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)
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)
Multipoint (in Time) Problem for One Class of Evolutionary Pseudodifferential Equations
by: Horodets’kyi, V. V., et al.
Published: (2014)
by: Horodets’kyi, V. V., et al.
Published: (2014)
Multipoint (in Time) Problem for One Class of Evolutionary Pseudodifferential Equations
by: V. V. Horodetskyi, et al.
Published: (2014)
by: V. V. Horodetskyi, et al.
Published: (2014)
Nonlocal multipoint (in time) problem
for evolutionary pseudodifferential equations with analytic symbols in spaces of type $W$
by: Horodets’kyi, V. V., et al.
Published: (2019)
by: Horodets’kyi, V. V., et al.
Published: (2019)
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)
Nonlocal multipoint (in time) problem for evolutionary pseudodifferential equations with analytic symbols in spaces of type W
by: V. V. Horodetskyi, et al.
Published: (2019)
by: V. V. Horodetskyi, et al.
Published: (2019)
A problem for one class of pseudodifferential
evolutionary equations multipoint in the time variable
by: Verezhak, A. P., et al.
Published: (2018)
by: Verezhak, A. P., et al.
Published: (2018)
A nonlocal problem multipoint in the time for one class of evolution pseudodifferential equations
by: V. V. Horodetskyi, et al.
Published: (2012)
by: V. V. Horodetskyi, et al.
Published: (2012)
On Simple-Layer Potentials for One Class of Pseudodifferential Equations
by: M. M. Osypchuk, et al.
Published: (2015)
by: M. M. Osypchuk, et al.
Published: (2015)
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)
A problem for one class of pseudodifferential evolutionary equations multipoint in the time variable
by: V. V. Gorodetskij, et al.
Published: (2018)
by: V. V. Gorodetskij, et al.
Published: (2018)
In bifurcated solution of the Cauchy problem for one class of parabolic systems
by: Lenуuk, M. P., et al.
Published: (1970)
by: Lenуuk, M. P., et al.
Published: (1970)
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)
Evolutionary pseudodifferential equations with smooth symbols in the S-type spaces
by: V. Horodetskyy̆, et al.
Published: (2023)
by: V. Horodetskyy̆, et al.
Published: (2023)
Evolutionary pseudodifferential equations with smooth symbols in the $S$-type spaces
by: Horodets’kyi, V., et al.
Published: (2023)
by: Horodets’kyi, V., et al.
Published: (2023)
Cauchy problem with Riesz operator of fractional differentiation
by: Litovchenko, V. A., et al.
Published: (2005)
by: Litovchenko, V. A., et al.
Published: (2005)
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)
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)
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)
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)
A Pseudodifferential Analytic Perspective on Getzler's Rescaling
by: Habib, Georges, et al.
Published: (2024)
by: Habib, Georges, et al.
Published: (2024)
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)
Kolmogorov’s equation for the Cauchy problem’s solution of one class of linear evolutional equations
by: Mestechkina, T. M., et al.
Published: (1987)
by: Mestechkina, T. M., et al.
Published: (1987)
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)
On asymptotics of solutions of one Cauchy’s problem
by: Zernov , A. E., et al.
Published: (2025)
by: Zernov , A. E., et al.
Published: (2025)
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)
On one extremal problem for nonlinear Cauchy-Riemann-Beltrami systems
by: R. R. Salimov, et al.
Published: (2020)
by: R. R. Salimov, et al.
Published: (2020)
Properties of the fundamental solutions and uniqueness theorems for the solutions of the Cauchy problem for one class of ultraparabolic equations
by: Ivasyshen, S. D., et al.
Published: (1998)
by: Ivasyshen, S. D., et al.
Published: (1998)
On the approximate solutions of one abstract Cauchy problem
by: V. V. Horodetskyi, et al.
Published: (2019)
by: V. V. Horodetskyi, et al.
Published: (2019)
Problem of osculatory interpolation in the class of entire functions of zero order
by: O. A. Bozhenko, et al.
Published: (2013)
by: O. A. Bozhenko, et al.
Published: (2013)
A Multipoint Problem for Pseudodifferential Equations
by: Klyus, I. S., et al.
Published: (2003)
by: Klyus, I. S., et al.
Published: (2003)
Stabilization of the solutions of a nonlocal problem multipoint in time for a class of evolution pseudodifferential equations
by: H. P. Verezhak, et al.
Published: (2017)
by: H. P. Verezhak, et al.
Published: (2017)
Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. II
by: Romanyuk, V. S., et al.
Published: (2001)
by: Romanyuk, V. S., et al.
Published: (2001)
Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I
by: Romanyuk, V. S., et al.
Published: (2001)
by: Romanyuk, V. S., et al.
Published: (2001)
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)
Cauchy problem for degenerate parabolic systems of Kolmogorov type in weighted Lebesgue spaces
by: V. A. Litovchenko, et al.
Published: (2014)
by: V. A. Litovchenko, et al.
Published: (2014)
Similar Items
-
A Cauchy problem for evolution pseudodifferential equations with variable symbols
by: V. V. Horodetskyi, et al.
Published: (2014) -
On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002) -
One method for the investigation of the fundamental solution of the Cauchy
problem for parabolic systems
by: Litovchenko, V. A., et al.
Published: (2018) -
Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type with positive genus
by: Ivasyshen, S. D., et al.
Published: (2009) -
Correct Solvability of the Cauchy Problem for One Equation of Integral Form
by: Litovchenko, V. A., et al.
Published: (2004)