Almost-periodic solutions of differential-operator equations

DOI10.1007/BF00971551zbMath0531.34036OpenAlexW1963907428MaRDI QIDQ788173

Anatoly N. Kochubei

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf00971551

zbMATH Keywords

fundamental solutioncomplex Banach spaces

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Linear differential equations in abstract spaces (34G10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Cites Work

• Almost automorphic solutions of certain abstract differential equations
• On the almost periodic solutions of certain second-order abstract differential equations
• Soluzioni quasi-periodiche per alcune equazioni differenziali in spazi hilbertiani
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
• On Bounded Solutions of Nonlinear Differential Equations in Hilbert Space
• On the Existence of a Unique Almost Periodic Solution of an Abstract Differential Equation
• Almost Automorphic Functions on Groups
• On the Uniquenes of Bounded Solutions to $u'(t) = A(t)u(t)$ and $u(t) = A(t)u(t)$ in Hilbert Space
• An Existence Result for Stepanoff Almost-Periodic Differential Equations
• Defect subspaces and generalized resolvents of an Hermitian operator in the space \(\Pi_\kappa\)
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