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Articles

Stability of coupled functional differential-difference equations

Pages 1920-1930 | Received 18 Jan 2018, Accepted 13 Oct 2018, Published online: 03 May 2019
 

Abstract

General coupled functional differential-difference equations are considered. A new approach to exponential stability of such equations is presented. Consequently, some novel criteria for exponential stability of coupled functional differential-difference equations are given. As applications, the obtained results are used to derive explicit criteria for exponential stability of nonlinear functional differential equations of neutral type and those of singular delay differential equations. Some illustrative examples are provided.

Acknowledgements

The author would like to thank the anonymous reviewers for carefully reading the manuscript and some constructive suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research is funded by the Vietnam National University Ho Chi Minh City (VNU-HCM) under the grant number B2019-28-03/HD-KHCN.

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