Solvability of the Cauchy problem for an evolution equation in a Banach space with a nondensely defined operator coefficient generating a semigroup with a singularity

DOI10.1007/BF00969167zbMath0611.34054MaRDI QIDQ1087698

Yu. T. Sil'chenko, Pavel E. Sobolevskii

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/62726

zbMATH Keywords

Cauchy problemBanach spacefirst order differential equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear differential equations in abstract spaces (34G10)

Related Items (3)

On entire solutions of exponential type for some implicit linear differential-difference equation in a Banach space ⋮ Differential equations with non-densely defined operator coefficients, generating semigroups with singularities ⋮ On Solutions of Zero Exponential Type for Some Inhomogeneous Differential-Difference Equations in a Banach Space

Cites Work

• Unnamed Item
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)

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