On small solutions of delay equations in infinite dimensions

DOI10.1007/BF01214249zbMath0907.34053MaRDI QIDQ1128241

J. M. A. M. van Neerven, Sen-Zhong Huang

Publication date: 25 October 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Laplace transformsemigroupdelay differential equationBanach spacesmall solution

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) One-parameter semigroups and linear evolution equations (47D06) Growth, boundedness, comparison of solutions to functional-differential equations (34K12)

Related Items (1)

Differentiability and growth bounds of solutions of delay equations

Cites Work

• Structural properties of functional differential equations in Banach spaces
• A sharp version of Henry's theorem on small solutions
• One-parameter semigroups of positive operators
• \(B\)-convexity, the analytic Radon-Nikodým property, and individual stability of \(C_0\)-semigroups
• Introduction to functional differential equations
• Linear theory of abstract functional differential equations of retarded type
• Delay equations. Functional-, complex-, and nonlinear analysis
• Individual stability of \(C_0\)-semigroups with uniformly bounded local resolvent
• Small solutions of linear autonomous functional differential equations
• Linear Functional Differential Equations as Semigroups on Product Spaces
• Bounded Solutions of Volterra Equations
• Existence and Stability for Partial Functional Differential Equations

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