East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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MATHEMATICAL MODELLING FOR THE AXIALLY MOVING PLATE WITH INTERNAL TIME DELAY

  • Kim, Daewook (Department of Mathematics and Education Seowon University)
  • Received : 2021.09.03
  • Accepted : 2021.09.27
  • Published : 2021.09.30
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Abstract

In [1, 2], we studied the string-like system with time-varying delay. Unlike the string system, the plate system must consider both longitudinal and transverse strains. First, we consider the physical phenomenon of an axially moving plate concerning kinetic energy, potential energy, and work dones. By the energy conservation law in physics, we have a nonlinear plate-like system with internal time delay.

Keywords

Acknowledgement

We are very grateful to the anonymous Referees for the some valuable comments of this manuscript.

References

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  2. Daewook Kim, Mathematical modelling for the axially moving membrane with internal time delay, East Asian Mathematical Journal 37 (2021), 141147. https://doi.org/10.7858/EAMJ.2021.012
  3. Daewook Kim, Exponential Decay for the Solution of the Viscoelastic Kirchhoff Type Equation with Memory Condition at the Boundary, East Asian Mathematical Journal 34 (2018), 69-84. https://doi.org/10.7858/eamj.2018.008
  4. Daewook Kim, Asymptotic behavior of a nonlinear Kirchhoff type equation with spring boundary conditions, Computers and Mathematics with Applications 62 (2011), 3004-3014. https://doi.org/10.1016/j.camwa.2011.08.011
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