Browsing by Author "Smirnov, Yury G."
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- ItemNonlinear multi-parameter eigenvalue problems for systems of nonlinear ordinary differential equations arising in electromagnetics(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2014) Angermann, Lutz; Shestopalov, Yury V.; Smirnov, Yury G.; Yatsyk, Vasyl V.We investigate a generalization of one-parameter eigenvalue problems arising in the theory of nonlinear waveguides to a more general nonlinear multiparameter eigenvalue problem for a nonlinear operator. Using an integral equation approach, we derive functional dispersion equations whose roots yield the desired eigenvalues. The existence and distribution of roots are veried.