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New Stability Criteria for Linear Volterra Time-varying Integro-differential Equations

Using a novel approach, we get some new explicit criteria for uniform asymptotic stability and exponential asymptotic stability of linear Volterra time-varying integro-differential equations of non-convolution type. Some examples are given to illustrate the obtained results.

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Bibliographic Details
Published in:Taiwanese journal of mathematics 2017-08, Vol.21 (4), p.841-863
Main Authors: Anh, Tran The, Anh Ngoc, Pham Huu
Format: Article
Language:English
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Summary:Using a novel approach, we get some new explicit criteria for uniform asymptotic stability and exponential asymptotic stability of linear Volterra time-varying integro-differential equations of non-convolution type. Some examples are given to illustrate the obtained results.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm/7812