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Dynamics of Suspension Bridge Equation with Delay

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Abstract

Long-time dynamics of the solutions for the suspension bridge equation with constant and time-dependent delays have been investigated, but there are no works on suspension bridge equation with state-dependent delay. Thus, we first consider the existence of pullback attractor for the non-autonomous suspension bridge equation with state-dependent delay by using the contractive function methods.

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Acknowledgements

We thank the referees for their insightful comments and suggestions all of which improved the presentation.

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Authors and Affiliations

  1. College of Mathematics and Statistics, LongDong University, Qingyang, 745000, Gansu, China

    Suping Wang & Xukui Shao

  2. College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, Gansu, China

    Qiaozhen Ma

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  1. Suping Wang
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  2. Qiaozhen Ma
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  3. Xukui Shao
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Correspondence to Suping Wang.

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Foundation term: This work is partly supported by the NSFC (11961059,11761062), Doctor research funding of LongDong University (XYBY1803), Innovation Fund for Higher Education of Gansu Province, (No 2021B-270)

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Wang, S., Ma, Q. & Shao, X. Dynamics of Suspension Bridge Equation with Delay. J Dyn Diff Equat 35, 3563–3588 (2023). https://doi.org/10.1007/s10884-022-10130-9

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  • DOI: https://doi.org/10.1007/s10884-022-10130-9

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