@Article{Zabawa2005, author = "Zabawa, Tomasz S.", title = "Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type", journal = "Opuscula Math.", year = "2005", volume = "25", number = "2", pages = "333--343", doi = "http://dx.doi.org/10.7494/OpMath.2005.25.2.333", url = "http://dx.doi.org/10.7494/OpMath.2005.25.2.333", abstract = "The Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is considered. It is shown the existence of solutions to this problem. The result is based on Chaplygin's method of lower and upper functions.", keywords = "infinite systems, elliptic differential-functional equations, monotone iterative technique, Chaplygin's method, Dirichlet problem", issn = "1232-9274" }