Novel criteria for exponential stability of functional differential equations
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- by Pham Huu Anh Ngoc PDF
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Abstract:
We first give explicit criteria for exponential stability of general linear nonautonomous functional differential equations. Then the obtained results are extended to nonlinear functional differential equations. Two examples are given to illustrate the results. To the best of our knowledge, the results of this note are new.References
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Additional Information
- Pham Huu Anh Ngoc
- Affiliation: Department of Mathematics, International University, VNU-HCMC, Thu Duc, Saigon, Vietnam
- Email: phangoc@hcmiu.edu.vn
- Received by editor(s): August 27, 2011
- Received by editor(s) in revised form: September 5, 2011, and November 11, 2011
- Published electronically: May 1, 2013
- Communicated by: Yingfei Yi
- © Copyright 2013 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 141 (2013), 3083-3091
- MSC (2010): Primary 34K20
- DOI: https://doi.org/10.1090/S0002-9939-2013-11554-6
- MathSciNet review: 3068962