Integral manifolds for partial functional differential equations in admissible spaces on a half-line

DOI10.1016/j.jmaa.2013.10.027zbMath1332.34110OpenAlexW2030190922MaRDI QIDQ902137

Trinh Viet Duoc, Nguyen Thieu Huy

Publication date: 7 January 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.10.027

zbMATH Keywords

partial functional differential equationsadmissibility of function spacesexponential dichotomy and trichotomystable and center-stable manifolds

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations in abstract spaces (34K30) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09) Invariant manifolds of functional-differential equations (34K19)

Related Items (10)

Dichotomy and periodic solutions to partial functional differential equations ⋮ Stable and center-stable manifolds of admissible classes for partial functional differential equations ⋮ Unstable manifolds of a class of delayed partial differential equations with nondense domain ⋮ On the theory of integral manifolds for some delayed partial differential equations with nondense domain ⋮ Invariant stable manifolds for partial neutral functional differential equations in admissible spaces on a half-line ⋮ Solutions to partial functional differential equations with infinite delays: periodicity and admissibility ⋮ Periodic solutions and their conditional stability for partial neutral functional differential equations ⋮ 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

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