42 citations · 126 across the 30 of their papers we have counts for
7 papers · 1 filter
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…
Solvability of some integro-differential equations with the bi-Laplacian and transport
Vitali Vougalter
We demonstrate the existence in the sense of sequences of solutions for some integro-differential type problems involving the drift term and the square of the Laplace operator, on…
On the solvability of some systems of quadratic integral equations in dimensions two and three
Vitali Vougalter
The work deals with the existence of solutions of a certain system of quadratic integral equations in H^2(R^d,R^N), d = 2, 3. We demonstrate the existence of a perturbed solution b…
On the existence of stationary solutions for certain systems of integro-differential equations with the double scale anomalous diffusion
Vitali Vougalter, Vitaly Volpert
The work deals with establishing the solvability of a system of integro-differential equations in the situation of the double scale anomalous diffusion. Each equation of such syste…
On the well-posedness of some model with the cubed Laplacian arising in the Mathematical Biology
Messoud Efendiev, Vitali Vougalter
In the article we establish the global well-posedness in W^{1,(6,2)}(R \times R+) of the integro-differential equation containing the cube of the one dimensional Laplacian and the…
On the well-posedness of a certain model with the bi-Laplacian appearing in the Mathematical Biology
Messoud Efendiev, Vitali Vougalter
The work is devoted to the global well-posedness in W^{1, (4, 2)}(R\times R^{+}) of the integro-differential problem involving the square of the one dimensional Laplace operator al…