A nonlinear multiparameter EV problem

• We investigate a generalization of one-parameter eigenvalue problems arising in the theory of wave propagation in waveguides filled with nonlinear media to more general nonlinear multi-parameter eigenvalue problems for a nonlinear operator. Using an integral equation approach, we derive functional dispersion equations (DEs) whose roots yield the desired eigenvalues. The existence of the roots of DEs is proved and their distribution is described.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Dispersion equations

Multi-parameter eigenvalue problems

Nonlinear spectral theory

Dispersion (waves)

Integral equations

Inverse problems

Mathematical operators

Nonlinear equations

Wave propagation

Eigenvalue problem

Eigenvalues

Integral equation approaches

Multiparameters

Non-linear media

Nonlinear operator

Spectral theory

Eigenvalues and eigenfunctions

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