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In this article, we discuss the existence as well as global attractivity and ultimate pos- itivity of solutions for a certain nonlinear first order ordinary differential equation on the un- bounded intervals of real line via a classical fixed point theorem of Schauder (Smart (12, page 15)). Our hypotheses and claims have also been explained with the help of two realizations under some natural conditions.

Some characterizations of nonlinear first order differential equations on unbounded intervals