The Cauchy problem for inhomogeneous parabolic Shilov equations

IM Dovzhytska - Carpathian Mathematical Publications, 2021 - journals.pnu.edu.ua
… correctness of the Cauchy problem using spaces of the Gelfand and Shilov type S were
also … The properties of the fundamental solution of the Cauchy problem for parabolic Shilov …

Parabolic systems of Shilov-type with coefficients of bounded smoothness and nonnegative genus

VA Litovchenko, GM Unguryan - Carpathian Mathematical …, 2017 - ktipe.pnu.edu.ua
… a class of the Shilov-type systems with time-dependent … space variable x of each such
system is parabolic (by Shilov) … the fundamental solution of the Cauchy problem for systems

Parabolic by Shilov systems with variable coefficients

VA Litovchenko - Carpathian Mathematical Publications, 2017 - ktipe.pnu.edu.ua
… The fundamental solution of the Cauchy problem for systems of this class … of the fundamental
solution of its Cauchy problem: … Parabolic systems of Shilov type are parabolically unstable …

Cauchy problem for inhomogeneous parabolic Shilov equations.

D IM - Carpathian Mathematical Publications/Karpats' kì …, 2021 - search.ebscohost.com
… correctness of the Cauchy problem using spaces of the Gelfand and Shilov type S were
also … The properties of the fundamental solution of the Cauchy problem for parabolic Shilov …

The fundamental matrix of solutions of the Cauchy problem for a class of parabolic systems of the Shilov type with variable coefficients

VA Litovchenko, IM Dovzhitska - Journal of Mathematical Sciences, 2011 - Springer
… description of FMSCP for parabolic systems of the Shilov type with nonnegative genus and
… of the theory of parabolic systems with variable coefficients, and study its main properties. …

Fundamental Solution of the Cauchy Problem for the Shilov-Type Parabolic Systems with Coefficients of Bounded Smoothness.

V Litovchenko, H Unhuryan - Ukrainian Mathematical …, 2017 - search.ebscohost.com
fundamental solution of the Cauchy problem and study the principal properties of this solution
for a special class of linear parabolic systems … the class of Shilov-type parabolic systems of …

Cauchy problem for a class of parabolic systems of Shilov type with variable coefficients

VA Litovchenko, IM Dovzhytska - Central European Journal of …, 2012 - Springer
… –Shilov type we establish the correct solvability of the Cauchy problem for a new class of
Shilov parabolic systems of … of the convergence of a solution of this problem to its limiting value …

Conjugate Cauchy problem for parabolic Shilov type systems with nonnegative genus

VA Litovchenko, GM Unguryan - Differential Equations, 2018 - Springer
… space S or a Gelfand– Shilov type space S were described in … conjugate Cauchy problem
for parabolic Shilov type systems … corresponding fundamental solution of the Cauchy problem, …

[PDF][PDF] Fundamental Solution of the Cauchy Problem for p→ h→-Parabolic Systems with Variable Coefficients.

VA Litovchenko - Journal of Mathematical Sciences, 2019 - researchgate.net
… behavior of fundamental solutions of the Cauchy problem for ¶ !p ; !h·-parabolic systems
with … for a class of parabolic systems of the Shilov type with variable coefficients,” J. Math. Sci., …

Stabilization of solutions to Shilov-type parabolic systems with nonnegative genus

VA Litovchenko, IM Dovzhytska - Siberian Mathematical Journal, 2014 - Springer
… examine some class of Shilov-type parabolic systems with a … and study the behavior of
solutions when t tends to infinity. The … property of a solution to the Cauchy problem for (1) in the …