In this paper we consider a coupled system of second-order boundary value problems with
nonlocal, nonlinear boundary conditions, and we examine conditions under which such
problems will have at least one positive solution. By imposing only an asymptotic growth
condition on the nonlinear boundary functions, we are able to achieve generalizations over
existing works and, in particular, we allow for the nonlocal terms to be able to be realized as
Lebesgue-Stieltjes integrals possessing signed Borel measures. We conclude with a�…

In this paper we consider a coupled system of second-order boundary value problems with
nonlocal, nonlinear boundary conditions. By imposing only a condition of asymptotic
sublinear growth on the nonlinear boundary functions, we are able to achieve
generalizations over existing works and, in particular, we allow for the nonlocal terms to be
able to be represented as Lebesgue-Stieltjes integrals possessing signed Borel measures.
Because we only suppose the sublinearity of the the nonlinear boundary functions at�…