Asymptotic expansion of the boundary layers of the perturbed simple pendulum problems

DOI10.1016/S0022-247X(03)00255-5zbMath1030.34081MaRDI QIDQ1405296

Tetsutaro Shibata

Publication date: 25 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionnonlinear eigenvalue problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Precise asymptotics of boundary layers for damped simple pendulum equations ⋮ Precise Asymptotic Properties of Solutions to Two-Parameter Elliptic Eigenvalue Problems in a Ball ⋮ Asymptotic expansion of solutions to nonlinear elliptic eigenvalue problems

Cites Work

• Phase-plane solutions to some singular perturbation problems
• Precise spectral asymptotics for the Dirichlet problem \(-u(t)+g(u(t))=\lambda\sin u(t)\)
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