The spectral properties of some nonlinear operators of Sturm-Liouville type

DOI10.1070/SM8666zbMath1390.34236MaRDI QIDQ4603914

Dmitry V. Valovik

Publication date: 23 February 2018

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

zbMATH Keywords

asymptotics of eigenvaluesperiodic eigenfunctionsnonlinear problem of Sturm-Louville type

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) 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) Boundary eigenvalue problems for ordinary differential equations (34B09)

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Study of a nonlinear eigenvalue problem by the integral characteristic equation method ⋮ Nonlinear multiparameter eigenvalue problems: linearised and nonlinearised solutions

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