On holomorphic solutions of some inhomogeneous linear differential equations in a Banach space over a non-Archimedean field

DOI10.1134/S2070046610020032zbMath1273.34068OpenAlexW2164349074MaRDI QIDQ1760223

Xianqiang Yang

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046610020032

zbMATH Keywords

Cauchy problem\(p\)-adic numbersclosed operatordifferential equation in a Banach spaceentire vector of exponential type of a closed operatorlocally holomorphic vector function

Mathematics Subject Classification ID

Linear differential equations in abstract spaces (34G10) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Cites Work

• On Holomorphic Solutions of Some Implicit Linear Differential Equations in a Banach Space
• An Introduction to "G"-Functions. (AM-133)
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