On uniform exponential \(N\)-dichotomy. (English) Zbl 0844.60032

The authors study the problem of uniform exponential \(N\)-dichotomy of evolutionary processes in Banach spaces. Generalizations of some well-known results of R. Datko, Z. Zabczyk, S. Rolewicz and A. Ichikawa are obtained. The obtained results are applicable for a large class of nonlinear differential equations described by A. Ichikawa.


60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
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