Study of a nonlinear eigenvalue problem by the integral characteristic equation method

DOI10.1134/S0012266120020032zbMath1444.34041OpenAlexW3012165717WikidataQ115250288 ScholiaQ115250288MaRDI QIDQ2185076

Dmitry V. Valovik

Publication date: 4 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0012266120020032

Mathematics Subject Classification ID

Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Parameter dependent boundary value problems for ordinary differential equations (34B08) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (5)

Maxwell’s Equations with Nonlinear Inhomogeneous Constitutive Relation: Guided Waves in a Film Filled with Inhomogeneous Kerr Medium ⋮ 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 ⋮ On the integral characteristic function of the Sturm-Liouville problem

Cites Work

• On a nonlinear eigenvalue problem related to the theory of propagation of electromagnetic waves
• Dual variational methods in critical point theory and applications
• Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem
• The spectral properties of some nonlinear operators of Sturm-Liouville type
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