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arxiv 2501.04396 v1 pith:AKYTDDCG submitted 2025-01-08 math.CA

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

classification math.CA
keywords momentdifferentialequationslinearsolutionssystemscoefficientsanalytic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Summability of formal solutions of some singular perturbations problems in differential and moment differential equations

    math.CA 2026-07 unverdicted novelty 5.0

    Under assumptions, solutions to singularly perturbed linear ODEs and moment ODEs are summable, with a link to moment PDEs used to describe multisummable formal solutions.