Cover Image

Classical fundamental solutions of the Cauchy problem for ultraparabolic Kolmogorov type equations with two groups of spatial variables

Saved in:

Bibliographic Details
Date:	2016
Main Authors:	S. D. Ivasyshen, I. P. Medynskyi
Format:	Article
Language:	English
Published:	2016
Series:	Transactions of Institute of Mathematics, the NAS of Ukraine
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0000826320
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

On classical fundamental solutions of the Cauchy problem for ultraparabolic equations of Kolmogorov type with two groups of spatial variables
by: S. D. Ivasyshen, et al.
Published: (2016)

Classical fundamental solution of the Cauchy problem for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration. I
by: S. D. Ivasyshen, et al.
Published: (2017)

Classical fundamental solution of the Cauchy problem for ultraparabolic Kolmogorov-type equations with two groups of spatial variables of degeneration. II
by: S. D. Ivasyshen, et al.
Published: (2017)

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)

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)

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)

The fundamental solution of the Cauchy problem for degenerated parabolic Kolmogorov type equations of arbitrary order
by: S. D. Ivasyshen, et al.
Published: (2019)

Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type
by: Ivasyshen, S. D., et al.
Published: (2011)

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)

On the fundamental solution of the Cauchy problem for Kolmogorov systems of the second order
by: H. P. Malytska, et al.
Published: (2018)

On the fundamental solution of the Cauchy problem for Kolmogorov systems of the second order
by: Burtnyak, I. V., et al.
Published: (2018)

Fundamental solution of the Cauchy problem for one parabolic equation with increasing lowest coefficients
by: S. D. Ivasyshen, et al.
Published: (2014)

Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus
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)

Ultraparabolic equations with infinitely growing coefficients in a group of minor terms and with degenerations on the initial hyperplane
by: S. D. Ivasyshen, et al.
Published: (2018)

On Kolmogorov-type inequalities for fractional derivatives of functions of two variables
by: Babenko, V. F., et al.
Published: (2008)

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)

Inverse problem for ultraparabolic equation with unknown function of a spatial variable in the right-hand side of equation
by: N. P. Protsakh
Published: (2013)

Fundamental solution of the Cauchy problem for (p,h) - parabolic systems with variable coefficients
by: V. A. Litovchenko
Published: (2018)

One inequality of the Landau–Kolmogorov type for periodic functions of two variable
by: V. F. Babenko
Published: (2019)

One inequality of the Landau – Kolmogorov type for periodic functions of two variable
by: Babenko, V. F., et al.
Published: (2019)

On the Cauchy theorem for hyperholomorphic functions of spatial variable
by: Herus, O.F.
Published: (2017)

On the Cauchy theorem for hyperholomorphic functions of spatial variable
by: O. F. Herus
Published: (2017)

Kolmogorov’s equation for the Cauchy problem’s solution of one class of linear evolutional equations
by: Mestechkina, T. M., et al.
Published: (1987)

Two-Parameter Quantum Groups and -Matrices: Classical Types
by: Martin, Ian, et al.
Published: (2025)

Fundamental solution of the Cauchy problem for the Shilov-type parabolic systems with coefficients of bounded smoothness
by: V. A. Litovchenko, et al.
Published: (2017)

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)

Cauchy problem for degenerate parabolic systems of Kolmogorov type in weighted Lebesgue spaces
by: V. A. Litovchenko, et al.
Published: (2014)

Fundamental solutions for degenerate parabolic equations: existence, properties and some their applications
by: I. P. Medynskyi
Published: (2021)

Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. I
by: Romanyuk, V. S., et al.
Published: (2001)

Estimates of the Kolmogorov Widths of Classes of Analytic Functions Representable by Cauchy-Type Integrals. II
by: Romanyuk, V. S., et al.
Published: (2001)

Kolmogorov-type inequalities for mixed derivatives of functions of many variables
by: Babenko, V. F., et al.
Published: (2004)

On the maximum principle for ultraparabolic equations
by: Malyts’ka, H. P., et al.
Published: (1996)

Systems of equations of Kolmogorov type
by: Malyts’ka, H. P., et al.
Published: (2008)

One method for the investigation of the fundamental solution of the Cauchy problem for parabolic systems
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)

Properties of solutions of a mixed problem for a nonlinear ultraparabolic equation
by: Protsakh, N. P., et al.
Published: (2009)

Fundamental solution of the Cauchy problem for a class of degenerate parabolic pseudo-differential equations
by: V. A. Litovchenko
Published: (2013)

Variational Ultraparabolic Inequalities
by: Lavrenyuk, S. P., et al.
Published: (2004)

On uniqueness of the Cauchy problem solution for some systems of equations with variable coefficients
by: Chaus, N. N., et al.
Published: (1970)