Boundary value problems on infinite intervals and semiconductor devices

The nonlinear differential equation y″ = f(x, y, y′), 0 ⩽ x < ∞ with appropriate boundary conditions is studied. Our treatment involves extending results of Granas, Guenther, and Lee concerning boundary value problems on finite intervals with f satisfying Bernstein type growth conditions. We also examine an important application which occurs in the theory of semiconductor devices