Infinite-order differential operators in the module of formal generalized functions and in a ring of formal power series

DOI10.1007/s11253-022-02116-zOpenAlexW4309886307MaRDI QIDQ2107816

O. L. Piven', S. L. Hefter

Publication date: 5 December 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-022-02116-z

Mathematics Subject Classification ID

Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34Kxx) Distributions, generalized functions, distribution spaces (46Fxx) Ordinary differential operators (47Exx)

Related Items (1)

Linear differential equation with inhomogeneity in the form of a formal power series over a ring with non-Archimedean valuation

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• Linear partial differential equations in module of formal generalized functions over commutative ring
• Implicit linear differential-difference equations in the module of formal generalized functions over a commutative ring
• Differential operators of infinite order in the space of formal Laurent series and in the ring of power series with integer coefficients
• Fundamental solution of the simplest implicit linear differential equation in a vector space
• Complex analysis and convolution operators
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