Spectral decomposition and invariant manifolds for some functional partial differential equations

DOI10.1006/JDEQ.1997.3277zbMath0884.35163OpenAlexW2006730538MaRDI QIDQ1366807

Olof J. Staffans, Hana Petzeltová

Publication date: 2 April 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3277

zbMATH Keywords

nonlinear perturbationstable and unstable manifoldstranslation semigroupexponential growth ratesintegrodifferential convolution equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Partial functional-differential equations (35R10) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (7)

Admissible integral manifolds for partial neutral functional-differential equations ⋮ Invariant stable manifolds for partial neutral functional differential equations in admissible spaces on a half-line ⋮ Unstable manifolds for partial neutral differential equations and admissibility of function spaces ⋮ Stabilization of hereditary distributed parameter control systems ⋮ Stable manifolds for some partial neutral functional differential equations with non-dense domain ⋮ Admissibly stable manifolds for a class of partial neutral functional differential equations on a Half-line ⋮ Invariant Stable Manifolds of $$\mathcal {E}$$ -Class for Partial Neutral Functional Differential Equations on a Half-Line

Cites Work

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• Some well-posed functional equations which generate semigroups
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• A neutral FDE is similar to the product of an ODE and a shift
• The Null Space and the Range of a Convolution Operator in a Fading Memory Space
• Local center manifold for parabolic equations with infinite delay
• Causality and Analyticity

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