On the boundedness properties of a perturbed nonlinear system |
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| Authors: | David Lowell Lovelady |
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| Affiliation: | (1) Department of Mathematics, Florida State University, 32306 Tallahassee, Florida, USA |
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| Abstract: | It is shown that certain asymptotic equivalence hypotheses on the equationsu (t) = F(t, u(t))+G(t, u(t)) andv(t) = F(t, v(t)) imply that uniform boundedness in the second equation induces eventual uniform boundedness in the first. Also, under these hypotheses, a characterization is given of the unbounded solutions of the first equation. |
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