We consider the positive solution of the perturbed simple pendulum problem
with , . To understand well the shape of the solution when , we establish the leading and second terms of () with the estimate of third term as . We also obtain the asymptotic formula for as .
Submitted May 12, 2006. Published May 9, 2007.
Math Subject Classifications: 35J60.
Key Words: Asymptotic formulas; Lq-norm; simple pendulum.
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| Tetsutaro Shibata |
Department of Applied Mathematics
Graduate School of Engineering
Higashi-Hiroshima, 739-8527, Japan
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