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Existence and Stability of Solutions for Semilinear Timoshenko System with Damping and Source Terms

Received: 18 August 2016     Accepted: 10 September 2016     Published: 30 September 2016
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Abstract

In this paper, we are concerned with one-dimensional Timoshenko model for a beam with nonlinear damping and source terms. Under suitable conditions on the initial data, the theorem of global existence is proved by potential well method combined Galerkin procedure, and decay estimates of the energy is established by means of Nakao’s inequality.

Published in International Journal of Theoretical and Applied Mathematics (Volume 2, Issue 1)
DOI 10.11648/j.ijtam.20160201.11
Page(s) 1-6
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Timoshenko System, Source Term, Damping Term, Global Existence, Stability

References
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  • APA Style

    Qingying Hu, Jian Dang, Hongwei Zhang. (2016). Existence and Stability of Solutions for Semilinear Timoshenko System with Damping and Source Terms. International Journal of Theoretical and Applied Mathematics, 2(1), 1-6. https://doi.org/10.11648/j.ijtam.20160201.11

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    ACS Style

    Qingying Hu; Jian Dang; Hongwei Zhang. Existence and Stability of Solutions for Semilinear Timoshenko System with Damping and Source Terms. Int. J. Theor. Appl. Math. 2016, 2(1), 1-6. doi: 10.11648/j.ijtam.20160201.11

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    AMA Style

    Qingying Hu, Jian Dang, Hongwei Zhang. Existence and Stability of Solutions for Semilinear Timoshenko System with Damping and Source Terms. Int J Theor Appl Math. 2016;2(1):1-6. doi: 10.11648/j.ijtam.20160201.11

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  • @article{10.11648/j.ijtam.20160201.11,
      author = {Qingying Hu and Jian Dang and Hongwei Zhang},
      title = {Existence and Stability of Solutions for Semilinear Timoshenko System with Damping and Source Terms},
      journal = {International Journal of Theoretical and Applied Mathematics},
      volume = {2},
      number = {1},
      pages = {1-6},
      doi = {10.11648/j.ijtam.20160201.11},
      url = {https://doi.org/10.11648/j.ijtam.20160201.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20160201.11},
      abstract = {In this paper, we are concerned with one-dimensional Timoshenko model for a beam with nonlinear damping and source terms. Under suitable conditions on the initial data, the theorem of global existence is proved by potential well method combined Galerkin procedure, and decay estimates of the energy is established by means of Nakao’s inequality.},
     year = {2016}
    }
    

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    T1  - Existence and Stability of Solutions for Semilinear Timoshenko System with Damping and Source Terms
    AU  - Qingying Hu
    AU  - Jian Dang
    AU  - Hongwei Zhang
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    DO  - 10.11648/j.ijtam.20160201.11
    T2  - International Journal of Theoretical and Applied Mathematics
    JF  - International Journal of Theoretical and Applied Mathematics
    JO  - International Journal of Theoretical and Applied Mathematics
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    UR  - https://doi.org/10.11648/j.ijtam.20160201.11
    AB  - In this paper, we are concerned with one-dimensional Timoshenko model for a beam with nonlinear damping and source terms. Under suitable conditions on the initial data, the theorem of global existence is proved by potential well method combined Galerkin procedure, and decay estimates of the energy is established by means of Nakao’s inequality.
    VL  - 2
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    ER  - 

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Author Information
  • Department of Mathematics, Henan University of Technology, Zhengzhou, China

  • Department of Mathematics, Henan University of Technology, Zhengzhou, China

  • Department of Mathematics, Henan University of Technology, Zhengzhou, China

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