Qihuai Liu, Lukai Huang, Guirong Jiang
Abstract:
We consider the existence and multiplicity of periodic oscillations for
the forced pendulum model with relativistic effects by using the
Poincare-Miranda theorem. Some detailed information about the bound
for the period of forcing term is obtained. To support our analytical work,
we also consider a forced pendulum oscillator with the special force
including a sufficiently small parameter.
The result shows us that for all
,
there exists a
periodic solution under our settings.
Submitted April 6, 2016. Published February 6, 2017.
Math Subject Classifications: 34B15.
Key Words: Relativistic pendulum; Poincare-Miranda theorem; averaging;
periodic solutions.
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Qihuai Liu School of Mathematics and Computing Sciences Guilin University of Electronic Technology Guilin 541002, China email: qhuailiu@gmail.com |
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Lukai Huang School of Mathematics and Computing Sciences Guilin University of Electronic Technology Guilin 541002, China email: 756060523@qq.com |
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Guirong Jiang School of Mathematics and Computing Sciences Guilin University of Electronic Technology Guilin 541002, China email: grjiang9@163.com |
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