Linearized stability of semilinear delay equations in fractional power spaces

DOI10.1016/0362-546X(91)90071-8zbMath0736.34069MaRDI QIDQ3970956

William Edward Fitzgibbon, Mary E. Parrott

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spaceanalytic semigroupfractional powerprinciple of linearized stabilitysemilinear delay equation

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Stability theory of functional-differential equations (34K20)

Related Items (3)

Partial functional differential equations and Conley index ⋮ Existence and stability in the \(\alpha\)-norm for partial functional differential equations of neutral type ⋮ Global Attractor in Alpha-Norm for Some Partial Functional Differential Equations of Neutral and Retarded Type

Cites Work

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• Positivity and a principle of linearized stability for delay-differential equations
• Semigroups of linear operators and applications to partial differential equations
• Asymptotic behavior of one-parameter semigroups of positive operators
• Some perturbation results for analytic semigroups
• Partial differential equations with deviating arguments in the time variable
• Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
• Translation Semigroups and Their Linearizations on Spaces of Integrable Functions

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