On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
We study an analog of the Cauchy problem for an inhomogeneous singular polycaloric (polyparabolic) equation with Bessel operator. By using the Erd´elyi–Kober operator of the fractional order, we deduce an explicit formula for the solution of the formulated problem.
Saved in:
| Date: | 2017 |
|---|---|
| Main Authors: | Karimov, Sh. T., Каримов, Ш. Т. |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2017
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1788 |
| 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 one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
by: Sh. T. Karimov
Published: (2017)
by: Sh. T. Karimov
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)
Solution of the Cauchy problem with values in refined spaces of Bessel potentials
by: A. O. Lopushanskyi, et al.
Published: (2015)
by: A. O. Lopushanskyi, et al.
Published: (2015)
Aniterative method for the solution of some singularly perturbed cauchy problems
by: Mel'nik, T. A., et al.
Published: (1997)
by: Mel'nik, T. A., et al.
Published: (1997)
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)
On the Asymptotic Behavior of Solutions of a Singular Cauchy Problem
by: Zernov, A. E., et al.
Published: (2001)
by: Zernov, A. E., et al.
Published: (2001)
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)
Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem
by: Mel'nik, T. A., et al.
Published: (1994)
by: Mel'nik, T. A., et al.
Published: (1994)
Singularities of Solutions of One Class of Equations of Continuum Mechanics
by: Il'man, V. M., et al.
Published: (2003)
by: Il'man, V. M., et al.
Published: (2003)
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)
One class of solutions of Volterra equations with regular singularity
by: Krein, S. G., et al.
Published: (1997)
by: Krein, S. G., et al.
Published: (1997)
Limited and periodical solutions of one differential equation and its stochastic analog in the Banach space
by: Gorodny , M. F., et al.
Published: (1991)
by: Gorodny , M. F., et al.
Published: (1991)
On the Solvability and Asymptotics of Solutions of One Functional Differential Equation with Singularity
by: Zernov, A. E., et al.
Published: (2001)
by: Zernov, A. E., et al.
Published: (2001)
Asymptotic solutions of the Cauchy problem for the singularly perturbed Korteweg-de Vries equation with variable coefficients
by: Samoilenko, V. G., et al.
Published: (2007)
by: Samoilenko, V. G., et al.
Published: (2007)
An approach to the investigation of optimal quadrature formulas for singular integrals with fixed singularity
by: Shabozov, M. Sh., et al.
Published: (1995)
by: Shabozov, M. Sh., et al.
Published: (1995)
One Class of singular integral operators
by: Pavlov , E. A., et al.
Published: (1991)
by: Pavlov , E. A., et al.
Published: (1991)
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 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)
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)
On one generalized integral transform of the Bessel type
by: N. O. Virchenko, et al.
Published: (2014)
by: N. O. Virchenko, et al.
Published: (2014)
Cauchy problem for non-uniformly parabolic equations with power singularities
by: I. D. Pukalskyi
Published: (2021)
by: I. D. Pukalskyi
Published: (2021)
Asymptotic solution of the Cauchy problem for the linear singularly perturbed system in case of multiple spectrum of the main operator
by: V. P. Yakovets
Published: (2013)
by: V. P. Yakovets
Published: (2013)
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)
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 characteristic properties of singular operators
by: Koshmanenko, V. D., et al.
Published: (1996)
by: Koshmanenko, V. D., et al.
Published: (1996)
On the analog of the Sălăgean class for Dirichlet series and the solutions of one linear differential equation with exponential coefficients
by: Sheremeta, M., et al.
Published: (2025)
by: Sheremeta, M., et al.
Published: (2025)
Singularities of Solutions of Singular Integral Equations
by: Il'man, V. M., et al.
Published: (2002)
by: Il'man, V. M., et al.
Published: (2002)
Asymptotic solution of the cauchy problem for a singularly perturbed linear system
by: Kocherga, O. I., et al.
Published: (1999)
by: Kocherga, O. I., et al.
Published: (1999)
Information complexity of weakly singular integral equations
by: Makhkamov, K. Sh., et al.
Published: (1994)
by: Makhkamov, K. Sh., et al.
Published: (1994)
On the solution of a one-dimensional stochastic differential equation with singular drift coefficient
by: Kulik, A. M., et al.
Published: (2004)
by: Kulik, A. M., et al.
Published: (2004)
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)
Singular Cauchy problem for the equation of flow of thin viscous films with nonlinear convection
by: Taranets, R. M., et al.
Published: (2006)
by: Taranets, R. M., et al.
Published: (2006)
On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve
by: Plaksa, S. A., et al.
Published: (1993)
by: Plaksa, S. A., 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)
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)
Some properties of the generalized Bessel integration operator
by: Yu. S. Linchuk, et al.
Published: (2018)
by: Yu. S. Linchuk, et al.
Published: (2018)
On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function
by: Zernov, A. E., et al.
Published: (2001)
by: Zernov, A. E., et al.
Published: (2001)
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)
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 Problem Multipoint in Time for the Evolutionary Equations with Pseudo-Bessel Operators with Variable Symbols
by: V. V. Horodetskyi, et al.
Published: (2014)
by: V. V. Horodetskyi, et al.
Published: (2014)
Similar Items
-
On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
by: Sh. T. Karimov
Published: (2017) -
One method for solution of the Cauchy problem for singular parabolic equations
by: Matiichuk , M. I., et al.
Published: (1992) -
Solution of the Cauchy problem with values in refined spaces of Bessel potentials
by: A. O. Lopushanskyi, et al.
Published: (2015) -
Aniterative method for the solution of some singularly perturbed cauchy problems
by: Mel'nik, T. A., et al.
Published: (1997) -
Kolmogorov’s equation for the Cauchy problem’s solution of one class of linear evolutional equations
by: Mestechkina, T. M., et al.
Published: (1987)