Method of \(Y\)-mappings for study of multiparameter nonlinear eigenvalue problems

DOI10.1134/S0965542522010110zbMath1504.34037OpenAlexW4213171999MaRDI QIDQ2116207

Yury G. Smirnov

Publication date: 16 March 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522010110

zbMATH Keywords

Sturm-Liouville problemcoupled polarized electromagnetic wavesfixed point of mappingmultiparameter nonlinear eigenvalue problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Applications of operator theory to differential and integral equations (47N20) Electromagnetic theory (general) (78A25) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• A nonlinear multiparameter EV problem
• Nonlinear coupled wave propagation in a \(n\)-dimensional layer
• Dual variational methods in critical point theory and applications
• Problem of coupled electromagnetic TE-TE wave propagation in a layer filled with nonlinear medium with saturation
• On the range of variation of an eigenvalue when the potential is varied
• Coupled electromagnetic TE-TM wave propagation in a layer with Kerr nonlinearity
• Estimates for the first eigenvalue in some Sturm-Liouville problems
• Majorants for eigenvalues of Sturm-Liouville problems with potentials lying in balls of weighted spaces
• Coupled electromagnetic transverse-electric–transverse magnetic wave propagation in a cylindrical waveguide with Kerr nonlinearity
• Problem of nonlinear coupled electromagnetic TE-TE wave propagation
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