Precise asymptotics of boundary layers for damped simple pendulum equations

DOI10.1007/S00025-009-0009-5zbMath1214.34018OpenAlexW2012861015MaRDI QIDQ708730

Tetsutaro Shibata

Publication date: 14 October 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-009-0009-5

zbMATH Keywords

damped simple pendulumslope of boundary layers

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Cites Work

• Unnamed Item
• Exponential asymptotics and adiabatic invariance of a simple oscillator
• Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations
• Existence and multiplicity theorems for semi-linear elliptic boundary value problems
• Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems
• Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems
• On the sensitivity of strongly nonlinear autonomous oscillators and oscillatory waves to small perturbations

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