On uniform exponential splitting for noninvertible evolution operators in Banach Spaces

Mihiţ, Claudia Luminiţa; Stoica, Codruţa Simona; Megan, Mihail

doi:10.1515/awutm-2015-0019

Abstract

The paper considers the general concept of uniform exponential splitting as a generalization of uniform exponential dichotomy property for evolution operators in Banach spaces.

Two characterizations in terms of integral inequalities of Datko-type respectively Lyapunov functions for uniform exponential splitting of a noninvertible evolution operator with respect to invariant projections families are obtained.

References

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On uniform exponential splitting for noninvertible evolution operators in Banach Spaces

Abstract

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