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Gap detection in the spectrum of an elastic periodic waveguide with a free surface. (Russian) Zbl 1187.78042
In a previous paper by the author, a method of proving the existence of at least one gap in the homogeneous spectrum of a three-dimensional periodic wave-guide was proposed. Here, the method is modified and it is used for proving the existence of a gap in the spectrum of a wave-guide with a free surface.

78A50 Antennas, waveguides in optics and electromagnetic theory
34Lxx Ordinary differential operators
34B24 Sturm-Liouville theory
74B05 Classical linear elasticity
74J15 Surface waves in solid mechanics
34L16 Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators