Layer structures for the solutions to the perturbed simple pendulum problems
نویسندگان
چکیده
منابع مشابه
Asymptotic Shape of Solutions to the Perturbed Simple Pendulum Problems
We consider the positive solution of the perturbed simple pendulum problem u′′(r) + N − 1 r u′(r)− g(u(t)) + λ sinu(r) = 0, with 0 < r < R, u′(0) = u(R) = 0. To understand well the shape of the solution uλ when λ 1, we establish the leading and second terms of ‖uλ‖q (1 ≤ q < ∞) with the estimate of third term as λ → ∞. We also obtain the asymptotic formula for uλ(R) as λ→∞.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.06.049