Asymptotic shape of solutions to the perturbed simple pendulum problems
We consider the positive solution of the perturbed simple pendulum problem $$ u''(r) + frac{N-1}{r}u'(r) - g(u(t)) + lambda sin u(r) = 0, $$ with $0 < r < R$, $ u'(0) = u(R) = 0$. To understand well the shape of the solution $u_lambda$ when $lambda gg 1$, we establish the l...
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Format: | Article |
Language: | English |
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Texas State University
2007-05-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2007/64/abstr.html |