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Abstract
Consideramos um sistema de equa çõ es de evolu çã o n ã o lineares que possui solu çõ es globais para dados iniciais pequenos. Demonstra-se que as solu çõ es s ã o assint ó ticas a solu çõ es do problema linear associado quando o tempo tende a infinito. O problema de encontrar solu çõ es n ã o lineares que sejam assint ó ticas a solu çõ es lineares dadas é investigado.
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