• Communications of the Korean Mathematical Society
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• v.12 no.3
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• pp.655-664
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• 1997

The existence and behavior of a bounded solution for a perturbed nonlinear differential equation of the type $$ (DE) x'(t) + Ax(t) \ni G(x(t)), t \in [0, \infty) $$ is considered. First, we consider the existence of a bounded solution with more simple assumptions using the concept of "the method of lines". Then we devote to study its behavior using recent results of almost non-expansive curve which is developed by Djafari Rouhani.i Rouhani.