LAUSR

We prove the existence in the sense of sequences of stationary solutions for some systems of reaction–diffusion type equations in the appropriate $$H^{2}$$H2 spaces. It is established that, under reasonable technical conditions, the convergence in $$L^{1}$$L1 of the integral kernels yields the existence and the convergence in $$H^{2}$$H2 of the solutions. The nonlocal elliptic problems contain the second-order differential operators with and without Fredholm property.