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Robusteness of Discrete Nonuniform Dichotomic Behavior by Bento, António J. G.; Silva, César M. is a scholarly article available to read on EtoBox.

What is Robusteness of Discrete Nonuniform Dichotomic Behavior about?

For nonautonomous linear difference equations in Banach spaces we show that a very general type of dichotomic behavior persists under small enough additive linear perturbations. By using a new approach, we obtain two general robustness theorems that improve several results in the literature and also contain new situations. In particular, unlike several existent results for particular growth rates, we show that, up to a multiplicative constant, the dichotomic behavior for the perturbed equation is the same as the one for the original equation.

Author

Bento, António J. G.; Silva, César M.

Published

2013

Language

EN