Problems without initial conditions for evolution equations and variational inequalities
appear in the modeling of different non-stationary processes within many fields of science …

We investigate weak solutions of the Cauchy problem for the third order hyperbolic
equations with variable exponent of the nonlinearity. The problem is considered in some …

The Fourier problem for higher-order nonlinear integro-differential elliptic-parabolic
equations with variable exponents of nonlinearity is considered. Existence and uniqueness …

The Fourier problem or, in other words, the problem without initial conditions for evolution
equations and inclusions arise in modeling different nonstationary processes in nature, that …

The problem without initial conditions or, in other words, the Fourier problem for anisotropic
elliptic-parabolic equations with variable exponents of nonlinearity in time unbounded …

∑ ∑ ∑ ∑ Page 1 ISSN 2075-9827 e-ISSN 2313-0210 https://journals.pnu.edu.ua/index.php/cmp
Carpathian Math. Publ. 2020, 12 (2), 419–433 Карпатськi матем. публ. 2020, Т.12, №2, С.419–433 …

Официальные оппоненты: Камынин Виталий Леонидович доктор физико-
математических наук, профессор Федеральное государственное автономное …

The Fourier problem or, in other words, the problem without initial conditions for weakly
nonlinear elliptic-parabolic systems are considered in this paper. The existence and …

Вважаемо, що просторова частина диференціального виразу в лівій частині рівнÿннÿ
(1)-еліптична, тобто рівнÿннÿ (1)-параболічне на множині Ω0× S і еліптичне на множині …