On uniform exponential splitting for noninvertible evolution operators in Banach Spaces

Claudia Luminiţa Mihiţ; Codruţa Simona Stoica; Mihail Megan

doi:10.1515/awutm-2015-0019

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On uniform exponential splitting for noninvertible evolution operators in Banach Spaces

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 53 (2015): Issue 2 (December 2015)

By: Claudia Luminiţa Mihiţ, Codruţa Simona Stoica and Mihail Megan

Open Access

|Apr 2016

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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Articles in this issue

DOI: https://doi.org/10.1515/awutm-2015-0019 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 121 - 131

Submitted on: Nov 1, 2015

Accepted on: Dec 15, 2015

Published on: Apr 9, 2016

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Uniform exponential splitting,

uniform exponential dichotomy,

evolution operators

Related subjects:

Mathematics,

General mathematics

© 2016 Claudia Luminiţa Mihiţ, Codruţa Simona Stoica, Mihail Megan, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 53 (2015): Issue 2 (December 2015)