On linear systems of moment differential equations with singularities of the first kind

Abstract

The solution to systems of moment differential equations of the form z∂my=(zA+B)y are provided, for a matrix B with general good spectrum. Existence and convergence of Floquet-type solutions is studied. A generalized definition of zB is given, as a tool to solve the main problem whenever A 0. The theory is illustrated with examples which are important in applications.

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