Correct Solvability of the Cauchy Problem for One Equation of Integral Form
We describe spaces of test functions that generalize S-type and W-type spaces. In these spaces, we establish the complete solvability of the Cauchy problem for one equation of integral form with Bessel fractional integro-differential operator.
Saved in:
| Date: | 2004 |
|---|---|
| Main Authors: | Litovchenko, V. A., Літовченко, В. А. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2004
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3742 |
| 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 Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002)
by: Litovchenko, V. A., et al.
Published: (2002)
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)
Correct solvability of the Cauchy problem and integral representations of solutions for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration
by: I. P. Medynskyi
Published: (2019)
by: I. P. Medynskyi
Published: (2019)
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 a Nonlocal Multipoint (in Time) Problem for One Class of Evolutionary Equations
by: Horodets’kyi, V. V., et al.
Published: (2013)
by: Horodets’kyi, V. V., et al.
Published: (2013)
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)
Correct Solvability of a Nonlocal Multipoint (in Time) Problem for One Class of Evolutionary Equations
by: V. V. Horodetskyi, et al.
Published: (2013)
by: V. V. Horodetskyi, et al.
Published: (2013)
On Stability of the Cauchy Equation on Solvable Groups
by: Faiziev, V. A., et al.
Published: (2015)
by: Faiziev, V. A., et al.
Published: (2015)
On Stability of the Cauchy Equation on Solvable Groups
by: V. A. Faiziev, et al.
Published: (2015)
by: V. A. Faiziev, et al.
Published: (2015)
Conditions of solvability of the problem inverse to the Cauchy problem for the difference-algebraic equation
by: S. M. Chuiko, et al.
Published: (2021)
by: S. M. Chuiko, et al.
Published: (2021)
Properties of fundamental solutions, theorems on integral representations of solutions and correct solvability of the Cauchy problem for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration
by: S. D. Ivasyshen, et al.
Published: (2018)
by: S. D. Ivasyshen, et al.
Published: (2018)
Cauchy problem with Riesz operator of fractional differentiation
by: Litovchenko, V. A., et al.
Published: (2005)
by: Litovchenko, V. A., et al.
Published: (2005)
Properties of fundamental solutions, correct solvability of the Cauchy problem and integral representations of solutions for ultraparabolic Kolmogorov–type equations with three groups of spatial variables and with degeneration on the initial hyperplane
by: O. Voznyak, et al.
Published: (2022)
by: O. Voznyak, et al.
Published: (2022)
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)
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)
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)
Some new conditions for the solvability of the cauchy problem for systems of linear functional-differential equations
by: Dil'na, N. Z., et al.
Published: (2004)
by: Dil'na, N. Z., et al.
Published: (2004)
On the correct solvability of the Dirichlet problem for operator differential equations in a Banach space
by: Gorbachuk, V. M., et al.
Published: (2006)
by: Gorbachuk, V. M., et al.
Published: (2006)
On the solvability of one system of nonlinear Hammerstein-type integral equations on the semiaxis
by: Kh. A. Khachatrjan, et al.
Published: (2017)
by: Kh. A. Khachatrjan, et al.
Published: (2017)
One method for solution of the Cauchy problem for singular parabolic equations
by: Matiichuk , M. I., et al.
Published: (1992)
by: Matiichuk , M. I., et al.
Published: (1992)
Modified Cauchy problem for one degenerated hyperbolic equation of the second kind
by: Urinov, A. K., et al.
Published: (2020)
by: Urinov, A. K., et al.
Published: (2020)
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)
Correct solvability of the difference Pade schemes for parabolic equations in Holder spaces
by: Ashyraliev, A., et al.
Published: (1992)
by: Ashyraliev, A., et al.
Published: (1992)
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)
Modified Cauchy problem for one degenerated hyperbolic equation of the second kind
by: A. K. Urinov, et al.
Published: (2020)
by: A. K. Urinov, et al.
Published: (2020)
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)
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)
Sardaryan T. G. On the solvability of one system of
nonlinear Hammerstein-type integral equations on the semiaxis
by: Sardaryan, T. G., et al.
Published: (2017)
by: Sardaryan, T. G., et al.
Published: (2017)
On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
by: Pafyk, S. P., et al.
Published: (2013)
by: Pafyk, S. P., et al.
Published: (2013)
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 the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
by: S. P. Pafyk, et al.
Published: (2013)
by: S. P. Pafyk, et al.
Published: (2013)
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)
Localization property of regular solutions of the Sauchy problem for a fractal equation of integral form
by: V. A. Litovchenko
Published: (2018)
by: V. A. Litovchenko
Published: (2018)
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)
Fundamental solution of the Cauchy problem for one parabolic equation with increasing lowest coefficients
by: S. D. Ivasyshen, et al.
Published: (2014)
by: S. D. Ivasyshen, et al.
Published: (2014)
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)
On solvability of one class of third order differential equations
by: Bilalov, B. T., et al.
Published: (2021)
by: Bilalov, B. T., et al.
Published: (2021)
Boundary-integral approach for the numerical solution of the Cauchy problem for the Laplace equation
by: R. Chapko, et al.
Published: (2016)
by: R. Chapko, et al.
Published: (2016)
Similar Items
-
On the Correct Solvability of One Cauchy Problem
by: Litovchenko, V. A., et al.
Published: (2002) -
Complete Solvability of the Cauchy Problem for Petrovskii Parabolic Equations in S-Type Spaces
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) -
One method for the investigation of the fundamental solution of the Cauchy
problem for parabolic systems
by: Litovchenko, V. A., et al.
Published: (2018) -
Correct solvability of the Cauchy problem and integral representations of solutions for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration
by: I. P. Medynskyi
Published: (2019)