Abstract
Solution methods for eigenvalue problems nonlinear in the spectral parameter are considered for model problems of the theory of microstrip transmission lines. The spectral properties of the Fredholm operator function F(λ) in Sobolev weighting classes are considered. A numerical method is proposed for determining the approximate characteristic values of F(λ). We prove theorems on nonemptiness, discreteness, and factorization of the spectrum and on convergence of the approximate spectra and characteristic values to the exact quantities.
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Translated from Metody Matematicheskogo Modelirovaniya, Avtomatizatsiya Obrabotki Nablyudenii i Ikh Primeneniya, pp. 175–198, 1986.
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Il'inskii, A.S., Smirnov, Y.G. Analysis of mathematical models of microstrip transmission lines. Comput Math Model 1, 218–234 (1990). https://doi.org/10.1007/BF01129065
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DOI: https://doi.org/10.1007/BF01129065