LINEAR DIFFERENTIAL EQUATIONS IN SCALES OF BANACH SPACES

DOI10.1524/ANLY.1992.12.12.31zbMATH Open0756.34060OpenAlexW2324805852MaRDI QIDQ3993903

Peter P. Zabreĭko, Jürgen Appell

Publication date: 13 August 1992

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.1992.12.12.31

zbMATH Keywords

existenceuniquenessCauchy problemlinear differential equationsscales of Banach spacesCauchy-Kovalevskaja type theorem in Gevrey classes of entire analytic functionsLyapunov-Floquet representation theoremsquasi-group property of the resolvent operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) General theory of ordinary differential operators (47E05) Cauchy-Kovalevskaya theorems (35A10) Linear differential equations in abstract spaces (34G10) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items (7)

Solvability of linear differential equations in scales of Banach spaces which are constructed by given collection of linear unbounded operators ⋮ Lack of maximal asymptotics for linear differential equations in Banach spaces ⋮ Title not available (Why is that?) ⋮ Vectors of exponential type and differential equations in a scale of Banach spaces ⋮ Title not available (Why is that?) ⋮ Linear ordinary differential equations with constant coefficients over a Banach algebra ⋮ Title not available (Why is that?)

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