On the solutions to linear systems of moment differential equations with variable coefficients

TL;DR

This paper investigates the existence and analyticity of solutions to linear systems of moment differential equations with variable coefficients, comparing classical and general moment differentiation results.

Contribution

It establishes the relation between solutions of moment differential systems and classical systems, extending known results to more general moment differentiation contexts.

Findings

Existence of solutions under certain conditions

Analyticity of solutions established

Comparison with classical differential equations

Abstract

The existence and analyticity of solutions to linear systems of moment differential equations with analytic coefficients is studied. The relation of solutions of such systems with respect to linear moment differential equations is stablished, comparing classical results with the general situation of moment differentiation.