We consider the simple pendulum equation
where , , and the friction term is either or . Note that when and , we have well known original damped simple pendulum equation. To understand the dependance of solutions, to the damped simple pendulum equation with , upon the term , we present asymptotic formulas for the maximum norm of the solutions. Also we present an asymptotic formula for the time at which maximum occurs, for the case .
Submitted April 21, 2009. Published November 7, 2009.
Math Subject Classifications: 34B15.
Key Words: Damped simple pendulum; asymptotic formula.
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| Tetsutaro Shibata |
Department of Applied Mathematics, Graduate School of Engineering
Hiroshima University, Higashi-Hiroshima, 739-8527, Japan
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