Precise asymptotic behavior of solutions to damped simple pendulum equations
We consider the simple pendulum equation $$displaylines{ -u''(t) + epsilon f(u'(t)) = lambdasin u(t), quad t in I:=(-1, 1),cr u(t) > 0, quad t in I, quad u(pm 1) = 0, }$$ where $0 < epsilon le 1$, $lambda > 0$, and the friction term is either $f(y) = pm|y|$ or $f(y)...
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| Format: | Article |
| Language: | English |
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Texas State University
2009-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/142/abstr.html |