The author studies, via fixed point index theory, the existence and multiplicity of positive solutions of a system of second order differential equations of the type
subject to the boundary conditions
Here, and are positive parameters, , and are continuous functions.
The author of this paper remarks that, unlike what usually happens in previous results for systems, here the two nonlinearities possess a somewhat different behavior. In fact, the function is positive and is bounded below by a negative constant, whereas is positive and the function is allowed to change sign.