12 papers
Solvability in the sense of sequences for certain non-Fredholm operators with a drift and Laplace and bi-Laplace operators
Vitali Vougalter
We study the solvability of some linear nonhomogeneous elliptic problems and establish that under certain technical assumptions the convergence in of their right-hand sides y…
Existence of stationary solutions for some systems of integro-differential equations with Laplace and bi-Laplace operators
Vitali Vougalter, Vitaly Volpert
The article is devoted to the solvability of a system of integro-differential equations in the case of the difference of the standard Laplacian and the bi-Laplacian in the diffusio…
Solvability of a class of integro-differential equations with Laplace and bi-Laplace operators
Vitali Vougalter, Vitaly Volpert
The work deals with the studies of the existence of solutions of an integro-differential equation in the situation of the difference of the standard Laplacian and the bi-Laplacian…
On the well-posedness of a certain model with two kernels appearing in the mathematical biology
Messoud Efendiev, Vitali Vougalter
The work is devoted to establishing the global well-posedness in of the integro-differential problem involving the two nonlocal terms describing the di…
Solvability conditions for some non-Fredholm operators with shifted arguments
Vitali Vougalter, Vitaly Volpert
In the first part of the article we establish the existence in the sense of sequences of solutions in for some nonhomogeneous linear differential equation in which one o…
The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian
Messoud Efendiev, Vitali Vougalter
The article is devoted to the easily verifiable necessary condition of the preservation of the nonnegativity of the solutions of a system of parabolic equations containing the cube…