Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations

DOI10.1007/BF03322681zbMath0988.34065OpenAlexW2053101436MaRDI QIDQ5937371

Tetsutaro Shibata

Publication date: 26 June 2002

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

Full work available at URL: https://doi.org/10.1007/bf03322681

zbMATH Keywords

eigenvalueasymptotic formulasperturbed elliptic sine-Gordon-type equationssine-Gordontwo-parameter

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

Layer structures for the solutions to the perturbed simple pendulum problems ⋮ Asymptotic expansion of the variational eigencurve for two-parameter simple pendulum-type equations ⋮ Asymptotic behavior of solutions to the perturbed simple pendulum problems with two parameters ⋮ Precise Asymptotic Properties of Solutions to Two-Parameter Elliptic Eigenvalue Problems in a Ball

Cites Work

• Nonlinear scalar field equations. I: Existence of a ground state
• Symmetry and related properties via the maximum principle
• Multiple interior layers of solutions to perturbed elliptic Sine-Gordon equation on an interval
• The nonlinear Klein-Gordon equation on an interval as a perturbed sine-Gordon equation
• Asymptotic behavior of eigenvalues of two-parameter nonlinear Sturm-Liouville problems
• Asymptotic behavior of the variational eigenvalues for semilinear sturm-liouville problems
• Spectral asymptotics for nonlinear multiparameter problems with indefinite nonlinearities
• Interior transition layers of solutions to the perturbed elliptic sine-Gordon equation on an interval

This page was built for publication: Asymptotic behavior of eigenvalues for two-parameter perturbed elliptic sine-Gordon type equations