On the existence of an infinite number of eigenvalues in one nonlinear problem of waveguide theory
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Publication:1757730
DOI10.1134/S0965542518100135OpenAlexW2899860737WikidataQ128968424 ScholiaQ128968424MaRDI QIDQ1757730
S. V. Tikhov, Dmitry V. Valovik
Publication date: 15 January 2019
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542518100135
comparison theoremasymptotics of eigenvaluesquasilinear differential equationnonlinear Sturm-Liouville-type eigenvalue problem
Related Items (6)
Asymptotic analysis of a nonlinear eigenvalue problem arising in the waveguide theory ⋮ Nonlinearizable solutions in an eigenvalue problem for Maxwell's equations with nonhomogeneous nonlinear permittivity in a layer ⋮ Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics ⋮ Linearizable and nonlinearizable solutions in the nonlinear eigenvalue problem arising in the theory of electrodynamic waveguides filled with a nonlinear medium ⋮ Propagation of electromagnetic waves in an open planar dielectric waveguide filled with a nonlinear medium. II: TM waves ⋮ Maxwell's equations with arbitrary self-action nonlinearity in a waveguiding theory: guided modes and asymptotic of eigenvalues
Cites Work
- On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides
- Dual variational methods in critical point theory and applications
- Integral dispersion equation method to solve a nonlinear boundary eigenvalue problem
- On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity
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