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Explicit criteria for exponential stability of nonlinear singular equations with delays

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Abstract

By a novel approach, we give some explicit criteria for global exponential stability of singular nonlinear differential equations with delays. An application to electrical networks containing lossless transmission lines is presented.

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Acknowledgements

The author would like to thank the anonymous reviewers for carefully reading the manuscript and some constructive suggestions. This work is supported by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant 101.01-2016.09.

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Authors and Affiliations

  1. Department of Mathematics, Vietnam National University-HCMC, International University, Thu Duc District, Saigon, Vietnam

    Pham Huu Anh Ngoc

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  1. Pham Huu Anh Ngoc
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Correspondence to Pham Huu Anh Ngoc.

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Ngoc, P.H.A. Explicit criteria for exponential stability of nonlinear singular equations with delays. Nonlinear Dyn 93, 385–393 (2018). https://doi.org/10.1007/s11071-018-4199-9

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  • DOI: https://doi.org/10.1007/s11071-018-4199-9

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