On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides

DOI10.1134/S0012266117110040zbMath1384.78007OpenAlexW2777844868MaRDI QIDQ1701798

Valeria Yu. Kurseeva, Yury G. Smirnov

Publication date: 27 February 2018

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

Full work available at URL: https://doi.org/10.1134/s0012266117110040

zbMATH Keywords

Sturm-Liouville problemnonlinear eigenvalue problemwaveguide

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40) Boundary eigenvalue problems for ordinary differential equations (34B09) Maxwell equations (35Q61)

Related Items (6)

Asymptotic analysis of a nonlinear eigenvalue problem arising in the waveguide theory ⋮ Maxwell's equations in a plane waveguide with nonhomogeneous nonlinear permittivity: analytical and numerical approaches ⋮ Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics ⋮ On the existence of an infinite number of eigenvalues in one nonlinear problem of waveguide theory ⋮ On a nonlinear eigenvalue problem related to the theory of propagation of electromagnetic waves ⋮ Propagation of electromagnetic waves in an open planar dielectric waveguide filled with an nonlinear medium. I: TE waves

Cites Work

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• On the eigenvalues of a nonlinear spectral problem
• Dual variational methods in critical point theory and applications
• Solutions to the Helmholtz equation for TE-guided waves in a three-layer structure with Kerr-type nonlinearity
• Integral Equation Approach for the Propagation of TE-Waves in a Nonlinear Dielectric Cylindrical Waveguide

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