Series expansions and small solutions for Volterra equations of convolution type

DOI10.1016/0022-0396(90)90087-6zbMath0708.34063OpenAlexW2122377858MaRDI QIDQ920272

Sjoerd M. Verduyn Lunel

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0022-0396(90)90087-6

zbMATH Keywords

semigroup of operatorsphase spaceVolterra equations of convolution type

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05)

Related Items (5)

The closure of the generalised eigenspace of a class of infinitesimal generators ⋮ Series expansions for functional differential equations ⋮ Sobolev space estimates for solutions of equations with delay, and the basis of divided differences ⋮ Functional-differential equations in Sobolev spaces and related problems of spectral theory ⋮ Characterising small solutions in delay differential equations through numerical approximations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A sharp version of Henry's theorem on small solutions
• 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
• The structural operator F and its role in the theory of retarded systems. II
• Projection series for retarded functional differential equations with applications to optimal control problems
• Completeness and F-completeness of eigenfunctions associated with retarded functional differential equations
• The adjoint of a linear functional differential equation and boundary value problems
• Notes on the Theory and Application of Fourier Transforms. I-II
• Asymptotic behavior of solutions of differential-difference equations.

This page was built for publication: Series expansions and small solutions for Volterra equations of convolution type