Costa, Fernando Pestana daSasportes, RafaelPinto, João Teixeira2011-02-172011-02-172007Costa, Fernando Pestana da; Pinto, João T.; Sasportes, Rafael - Convergence to self-similarity in an addition model with power-like time-dependent input of monomers. In "Applied and Industrial Mathematics in Italy II [Em linha]: selected Contributions from the 8th SIMAI Conference". Singapora : World Scientific, 2007. ISBN 978-981270987. p. 303-314978-9812709387http://hdl.handle.net/10400.2/1715In this note we extend the results published in Ref. 1 to a coagulation system with Becker-Doring type interactions and time-dependent input of monomers $J_{1}(t)$ of power–like type: $J_{1}(t)/(\alpha t^{\omega }) \rightarrow 1$ as $t \rightarrow \infty$, with $\alpha > 0$ and $\omega > − \frac{1}{2}$. The general framework of the proof follows Ref. 1 but a different strategy is needed at a number of points.engDinâmica de EDOs não-autónomasEquações de coagulaçãoComportamento assimptóticoComportamento auto-semelhanteDynamics of non-autonomous ODEsCoagulation equationsLong-time behaviourSelf-similar behaviourbook part10.1142/9789812709394_0027