On Uniform Stability with Growth Rates of Stochastic Skew-Evolution Semiflows in Banach Spaces

Round 1

Reviewer 1 Report

Please see attachment

Comments for author File: Comments.pdf

Author Response

Review 1

Point 1.  In the revised version the new title of the Section 3 is Stability concepts in mean. Definitions 2, 3 and Remark 2 are given at the beginning of the section. Connections among three types of uniform stability in mean are presented in Theorems 1, 2 and Corollaries 1, 2. Characterizations of these concepts are given in Section 4.

Point 2. The problem of nonuniform Lyapunov stability suggested by the reviewer is studied in many paper (included in some authors articles) in the deterministic case. Generalizations of these results for the general case of stochastic skew-evolution semiflows is given as an open problem in the conclusions.

Reviewer 2 Report

The introduction needs more work, and more details should be added.
Section 3,  "Connections between stability concepts in mean, " needs some improvement and some descriptive information.
Please try to add more references and citations that support your paper and your topic.

also, try to show where your contribution what and where we can apply this in real applications.

Author Response

Review 2.

In the revised version of our paper the sections: Abstract, Introduction, Conclusions and References are modified.

Throughout the paper all the typos and grammatical errors are cleared.

English language and style are checked.

As possible applications of our results is mentioned in Section 5 the control theory by using the corresponding concepts of stabilizability.

Round 2

Reviewer 2 Report

This paper in stochastic analysis which has some good ideas that can help researchers in this domain