On analytic solutions of operator differential equations

DOI10.1007/BF02487281zbMath0965.34051MaRDI QIDQ4516163

M. L. Gorbachuk

Publication date: 27 November 2000

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

zbMATH Keywords

Cauchy problemdifferential-operator equationanalytic vectorentire vector

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Explicit solutions, first integrals of ordinary differential equations (34A05) Growth and boundedness of solutions to ordinary differential equations (34C11) Linear differential equations in abstract spaces (34G10) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Applications of operator theory in numerical analysis (47N40) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Related Items (5)

Representations of a group of linear operators in a Banach space on the set of entire vectors of its generator ⋮ Spaces of smooth and generalized vectors of the generator of an analytic semigroup and their applications ⋮ On extensions and restrictions of semigroups of linear operators in a Banach space and their applications ⋮ On entire solutions of exponential type for some implicit linear differential-difference equation in a Banach space ⋮ On Solutions of Zero Exponential Type for Some Inhomogeneous Differential-Difference Equations in a Banach Space

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