3 papers
math.AP2024
On the well-posedness of some model arising in the mathematical biology
Messoud Efendiev, Vitali Vougalter
In the article we establish the global well-posedness in W^{1, 2, 2}(R\times R^{+}) of the integro-differential equation in the case of the anomalous diffusion when the one dimensi…
math.AP2024
Solvability of a class of systems of quadratic integral equations
Yuming Chen, Vitali Vougalter
The article is devoted to the existence of solutions of a certain system of quadratic integral equations in H^1(R, R^N). We show the existence of a perturbed solution by using a fi…
math.AP2024
On the solvability of some systems of integro-differential equations with and without a drift
Messoud Efendiev, Vitali Vougalter
We prove the existence of solutions for some integro-differential systems containing equations with and without the drift terms in the H^2 spaces by virtue of the fixed point techn…