Integral manifolds and their attraction property for evolution equations in admissible function spaces

DOI10.11650/twjm/1500406669zbMath1251.34062OpenAlexW1569261833MaRDI QIDQ439193

Nguyen Thieu Huy, Trinh Viet Duoc

Publication date: 1 August 2012

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/2000

zbMATH Keywords

exponential trichotomydichotomysemi-linear evolution equationsadmissibility of function spacescenter-stable and unstable manifolds

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Perturbations of ordinary differential equations (34D10) Invariant manifolds for ordinary differential equations (34C45) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (5)

Stable and center-stable manifolds of admissible classes for partial functional differential equations ⋮ Admissible, bounded and periodic solutions of semilinear evolution equations on the line ⋮ On the theory of integral manifolds for some delayed partial differential equations with nondense domain ⋮ Unstable manifolds for partial functional differential equations in admissible spaces on the whole line ⋮ Admissibly integral manifolds for semilinear evolution equations

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