3 papers
math.AP2025
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…
math.AP2025
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…
math.AP2024
Existence of stationary solutions for some integro-differential equations with the double scale anomalous diffusion
Vitali Vougalter, Vitaly Volpert
The paper is devoted to the investigation of the solvability of an integro-differential equation in the case of the double scale anomalous diffusion with a sum of two negative Lapl…