  In this paper, we study the interaction between a nonlinear focusing Robin
type boundary source, a nonlinear defocusing interior source, and a weak
damping term for nonlinear Schr\"odinger equations posed on the infinite half
line. We construct solutions with negative initial energy satisfying a certain
set of conditions which blow-up in finite time in the $H^1$-sense. We obtain a
sufficient condition relating the powers of nonlinearities present in the model
which allows construction of blow-up solutions. In addition to the blow-up
property, we also discuss the stabilization property and the critical exponent
for this model.
