Solvability of BVPs for the Parabolic-Hyperbolic Equation with Non-linear Loaded Term
View/ Open:
URI (for links/citations):
https://elib.sfu-kras.ru/handle/2311/137963Author:
Abdullaev, Obidjon Kh.
Абдуллаев, Обиджон
Date:
2021Journal Name:
Журнал Сибирского федерального университета. Математика и физика, 2021. Journal of Siberian Federal University. Mathematics & Physics, 2021, 14 (2)Abstract:
This work is devoted to prove the existence and uniqueness of solution of BVP with non-local
assumptions on the boundary and integral gluing conditions for the parabolic-hyperbolic type equation
involving Caputo derivatives. Using the method of integral energy, the uniqueness of solution have been
proved. Existence of solution was proved by the method of integral equations Данная работа посвящена доказательству существования и единственности краевой задачи с нелокальными краевыми и интегральными условиями склеивания для парабологиперболического уравнения с дробной производной Капуто. Применением метода интегралов энергии доказана единственность решения задачи. Существование решения было доказано методом
интегральных уравнений
Collections:
Metadata:
Show full item recordRelated items
Showing items related by title, author, creator and subject.
-
Global in Time Results for a Parabolic Equation Solution in Non-rectangular Domains
Bouzidi, Louanas; Kheloufi, Arezki; Бузиди, Луанас; Хелоуфи, Арезки (Сибирский федеральный университет. Siberian Federal University, 2020-05)This article deals with the parabolic equation ∂tw − c(t)∂2x w = f in D, D = { (t, x) ∈ R2 : t > 0, φ1 (t) < x < φ2(t) } with φi : [0,+∞[→ R, i = 1, 2 and c : [0,+∞[→ R satisfying some conditions and the problem ... -
On a Second Order Linear Parabolic Equation with Variable Coefficients in a Non-Regular Domain of R³
Boulkouane, Ferroudj; Kheloufi, Arezki; Булкоан, Ферроди; Келуфи, Арезки (Сибирский федеральный университет. Siberian Federal University, 2018-08)This paper is devoted to the study of the following variable-coefficient parabolic equation in non-divergence form @tu ����� Σ2 i=1ai(t;x 1; x2)@iiu +Σ2i=1bi(t; x1; x2)@iu + c(t; 1; x2)u = f(t; x1; x2); subject to ... -
On the Fredholm property for the steady Navier-Stokes equations in weighted H¨older spaces
Parfenov, Andrei A.; Shlapunov, Alexander A.; Парфенов, Андрей А.; Шлапунов, А.А. (Сибирский федеральный университет. Siberian Federal University, 2018-10)We prove that the steady Navier-Stokes equations induce a Fredholm non-linear map on the scale of H¨older spaces weighted at the infinity -
On One Two-dimensional Binary Mixture’s Motion in a Flat Layer
Darabi, Nemat; Malah, Hamid; Дараби, Немат; Малах, Хамид (Сибирский федеральный университет. Siberian Federal University., 2016-07)In this paper is estimated a special solution for solving thermal diffusion equations, that describe motion of binary mixture in a flat layer. When Reynolds number (Re ! 0) is small, it is possible to simplify these ... -
On Solvability of Systems of Symbolic Polynomial Equations
Egorushkin, Oleg I.; Kolbasina, Irina V.; Safonov, Konstantin V.; Егорушкин, Олег И.; Колбасина, Ирина В.; Сафонов, Константин В. (Сибирский федеральный университет. Siberian Federal University., 2016-06)Approaches to solving the systems of non-commutative polynomial equations in the form of formal power series (FPS) based on the relation with the corresponding commutative equations are developed. Every FPS is mapped to ...