Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations

DOI10.1016/j.jde.2020.04.042zbMath1445.34123OpenAlexW3020964600MaRDI QIDQ2187195

Zhi Zhang, Gang Meng, Jifeng Chu

Publication date: 2 June 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.04.042

zbMATH Keywords

trace formulaisospectral problemperiodiccontinuous dependencemodified Camassa-Holm equation

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (10)

Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential ⋮ Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems ⋮ Criterion for Lyapunov stability of periodic Camassa-Holm equations ⋮ Estimates for \(\delta\)-periodic eigenvalues of two-component Novikov system ⋮ A variational approach to the optimal locations of the nodes of the second Dirichlet eigenfunctions ⋮ Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations ⋮ Sharp estimates of lowest positive Neumann eigenvalue for general indefinite Sturm-Liouville problems ⋮ Sharp bounds for Dirichlet eigenvalue ratios of the Camassa-Holm equations ⋮ On principal eigenvalues of measure differential equations and a patchy Neumann eigenvalue problem ⋮ Traveling wave solutions of a generalized Burgers-\(\alpha\beta\) equation

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