A sharp version of Henry's theorem on small solutions

DOI10.1016/0022-0396(86)90102-6zbMath0577.34056OpenAlexW2026139378MaRDI QIDQ1065996

Sjoerd M. Verduyn Lunel

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://ir.cwi.nl/pub/2514

zbMATH Keywords

integral equationequationsmall solutionVolterra convolutionF-completenessHenry's theoremlinear autonomous retarded functional differential

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) General theory of functional-differential equations (34K05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

The closure of the generalised eigenspace of a class of infinitesimal generators, A functional model approach to linear neutral functional differential equations, On small solutions of delay equations in infinite dimensions, Travelling waves for a size and space structured model in population dynamics: point to sustained oscillating solution connections, Series expansions and small solutions for Volterra equations of convolution type, The discrete Lyapunov function for scalar differential delay equations, Characterising small solutions in delay differential equations through numerical approximations

Cites Work

• Density of images of semigroup operators for linear neutral functional differential equations
• The structural operator F and its role in the theory of retarded systems. II
• Completeness and F-completeness of eigenfunctions associated with retarded functional differential equations
• The adjoint of a linear functional differential equation and boundary value problems
• The Largest Class of Hereditary Systems Defining a C₀ Semigroup on the Product Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item