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On localization conditions for spectrum of model operator for Orr - Sommerfeld equation

On localization conditions for spectrum of model operator for Orr - Sommerfeld equation

For a model operator () related with Orr-Sommerfeld equation, we study the necessity of known Shkalikov conditions sufficient for a localization of the spectrum at a graph of Y-shape.We consider two types of the potentials, for which an unbounded part Γ ∞ of the limiting spectral graph (LSG) is constructed …