Splitting and the spectrum of a linear differential equation with quasiperiodic coefficients
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A linear differential equation with quasiperiodic coefficients for large values of the spectral parameter is split into an exponentially dichotomous system and a two-dimensional] system with the properties of the one-dimensional Schrödinger equation. The set of the values of the parameter, for which the equation has solution of the form A(t) epx (iat) with a real number a and a quasiperiodic function A(t), is a single out.
KeywordsDifferential Equation Real Number Spectral Parameter Linear Differential Equation Quasiperiodic Function
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