Cover Image

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

Saved in:

Bibliographic Details
Date:	2022
Main Authors:	O. Voznyak, V. Dron, I. Medynskyi
Format:	Article
Language:	English
Published:	2022
Series:	Mathematical Modeling and Computing
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0001373444
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

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)

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)

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

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

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

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

Fractional diffusion equation degenerating on the initial hyperplane
by: A. M. Ponomarenko
Published: (2021)

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

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

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)

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

Boundary values of smooth solutions of degenerate parabolic systems of the Kolmogorov type
by: V. A. Litovchenko, et al.
Published: (2015)

Boundary values of smooth solutions of degenerate parabolic systems of the Kolmogorov type
by: Litovchenko, V. A., et al.
Published: (2015)

Boundary values of smooth solutions of Kolmogorov degenerate parabolic equations (p, h)
by: V. A. Litovchenko
Published: (2016)

One method for the investigation of the fundamental solution of the Cauchy problem for parabolic systems
by: V. A. Litovchenko
Published: (2018)

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

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

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)

On Stability of the Cauchy Equation on Solvable Groups
by: V. A. Faiziev, et al.
Published: (2015)

On Stability of the Cauchy Equation on Solvable Groups
by: Faiziev, V.A., et al.
Published: (2015)

On properties of solutions for Fokker-Planck-Kolmogorov equations
by: I. P. Medynsky
Published: (2020)

Theoretical fundamentals of spatial justice
by: V. V. Nebrat
Published: (2020)

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)

The Cauchy problem for degenerate parabolic equations with source and damping
by: Andreucci, D., et al.
Published: (2004)

Modular Construction of Free Hyperplane Arrangements
by: Tsujie, Shuhei
Published: (2020)

Quantum Integrable Model of an Arrangement of Hyperplanes
by: Varchenko, A.
Published: (2011)

On the approximate solutions of one abstract Cauchy problem
by: V. V. Horodetskyi, et al.
Published: (2019)

Solvability of a boundary-value problem for degenerate equations
by: T. Gadjiev, et al.
Published: (2020)

On the behaviour of solutions of degenerate nonlinear elliptic equations
by: Cataldo, V., et al.
Published: (2005)

On Reducible Degeneration of Hyperelliptic Curves and Soliton Solutions
by: Nakayashiki, A.
Published: (2019)

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

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

Approximation of solutions of generalized correct differential systems
by: O. O. Vlasii, et al.
Published: (2012)

Fundamental solutions of the Stokes system in quaternion analysis
by: D. C. Dinh
Published: (2022)

Geochemistry of fluids: innovative solution of the fundamental problem
by: Y. Svoren
Published: (2021)

On partial solutions of one equation with multiple characteristics and some properties of the fundamental solution
by: Ju. Irgashev
Published: (2016)