Existence of Solutions for a Nonlocal Boundary Value Problem at Resonance on the Half-Line.

In this paper we are interested in the existence of solutions for the following boundary value problem at resonance on the half-line where f : R + × R 2 → R is q-Carathéodory, g : R + → R + is a nondecreasing function with g (0) = 0 under the resonance condition g (∞) = 1 . The coincidence degree theory of Mawhin [17] is used to establish the existence of at least one solution for the posed problem. [ABSTRACT FROM AUTHOR]