Asymptotical analysis of a nonlinear Sturm–Liouville problem: Linearisable and non-linearisable solutions

DOI10.3233/ASY-191565zbMath1452.35201OpenAlexW2971610570MaRDI QIDQ5135336

Marina Moskaleva, Dmitry V. Valovik, Valeria Yu. Kurseeva

Publication date: 20 November 2020

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-191565

zbMATH Keywords

comparison theoremdistribution of eigenvaluesasymptotical analysisnonlinear Sturm-Liouville problemperiodicity of eigenfunctions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonlinear ordinary differential operators (34L30)

Related Items (5)

Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer ⋮ Maxwell's equations in a plane waveguide with nonhomogeneous nonlinear permittivity: analytical and numerical approaches ⋮ Nonlinearized nonlinear electromagnetic guided waves in a circle cylindrical waveguide filled with nonlinear dielectric medium ⋮ On a nonclassical eigenvalue problem with nonlinearizable solutions ⋮ Nonclassical perturbation approach to a nonlinear multiparameter eigenvalue problem arising in electromagnetics

This page was built for publication: Asymptotical analysis of a nonlinear Sturm–Liouville problem: Linearisable and non-linearisable solutions