Invariant Stable Manifolds of $$\mathcal {E}$$ -Class for Partial Neutral Functional Differential Equations on a Half-Line

DOI10.1007/978-3-030-77704-3_2zbMath1481.35371OpenAlexW3208914401MaRDI QIDQ5024557

Vu Thi Ngoc Ha, Nguyen Thieu Huy, Xuan Yen Trinh

Publication date: 26 January 2022

Published in: STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-77704-3_2

zbMATH Keywords

exponential dichotomypartial neutral functional differential equationsstable and center-stable manifolds of admissible class

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial functional-differential equations (35R10) Nonlinear evolution equations (47J35)

Cites Work

• Invariant stable manifolds for partial neutral functional differential equations in admissible spaces on a half-line
• Stable and unstable manifolds for nonlinear partial neutral functional differential equations
• Integral manifolds for partial functional differential equations in admissible spaces on a half-line
• Invariant manifolds of admissible classes for semi-linear evolution equations
• Stable manifolds for semi-linear evolution equations and admissibility of function spaces on a half-line
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line
• Spectral decomposition and invariant manifolds for some functional partial differential equations
• Invariant manifolds of partial functional differential equations.
• Theory and applications of partial functional differential equations
• The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions
• Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
• Admissibly integral manifolds for semilinear evolution equations
• One-Parameter Semigroups for Linear Evolution Equations
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