BOUNDED SOLUTIONS FOR A DERIVATIVE DEPENDENT BOUNDARY VALUE PROBLEM ON THE HALF-LINE

This paper is devoted to the existence of bounded solutions to a nonlinear secondorder boundary value problem on the positive half-line where the nonlinearity depends on the first derivative. We employ topological degree theory combined with the method of upper and lower solutions on compact domains to prove existence of solution on truncated domains. Solutions are then extended to unbounded domains using sequential arguments. A uniqueness result is also obtained and two illustrative examples end the paper.