4 papers
Stability and instability of constant stationary solutions to some integro-differential equations
Yuming Chen, Vitali Vougalter
We consider some reaction-diffusion equations describing systems with the nonlocal consumption of resources and the intraspecific competition. Sharp conditions on the coefficients…
On the existence of solutions for a class of systems of integro-differential equations with the logarithmic Laplacian and drift
Yuming Chen, Vitali Vougalter
In this article, we consider a system of integro-differential equations in L^2(R, R^N), which contains the logarithmic Laplacian in the presence of transport terms. The linear oper…
Existence of solutions for a class of integro-differential equations with the logarithmic Laplacian and transport
Yuming Chen, Vitali Vougalter
In this paper, we consider an integro-differential equation in L^2(R), which involves the logarithmic Laplacian in the presence of a drift term. The linear operator associated with…
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…