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International Conference on Mathematics and Statistics

AUS-ICMS 2015: Mathematics Across Contemporary Sciences pp 151–165Cite as

A Suspension Bridge Problem: Existence and Stability

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 190))

Abstract

In this work, we consider a semilinear problem describing the motion of a suspension bridge in the downward direction in the presence of its hanger restoring force h(u) and a linear damping \(\delta u_t\), where \(\delta >0\) is a constant. By using the semigroup theory, we establish the well posedness. We also use the multiplier method to prove a stability result.

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Acknowledgements

The authors thank King Fahd University of Petroleum and Mineral for its continuous support.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, P.O.Box 546, Dhahran, 31261, Saudi Arabia

    Salim A. Messaoudi & Soh Edwin Mukiawa

Authors
  1. Salim A. Messaoudi
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  2. Soh Edwin Mukiawa
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Corresponding author

Correspondence to Salim A. Messaoudi .

Editor information

Editors and Affiliations

  1. Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates

    Taher Abualrub

  2. Department of Mathematics and Statistics, American University of Sharjah , Sharjah, United Arab Emirates

    Abdul Salam Jarrah

  3. Department of Mathematics, Université de Lille 1, Lille, France

    Sadok Kallel

  4. Department of Mathematics and Statistics, American University of Sharjah, Sharjah, United Arab Emirates

    Hana Sulieman

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© 2017 Springer International Publishing Switzerland

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Messaoudi, S.A., Mukiawa, S.E. (2017). A Suspension Bridge Problem: Existence and Stability. In: Abualrub, T., Jarrah, A., Kallel, S., Sulieman, H. (eds) Mathematics Across Contemporary Sciences. AUS-ICMS 2015. Springer Proceedings in Mathematics & Statistics, vol 190. Springer, Cham. https://doi.org/10.1007/978-3-319-46310-0_9

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