Invariant manifolds of partial functional differential equations.
DOI10.1016/j.jde.2003.10.006zbMath1061.34056OpenAlexW1980717747MaRDI QIDQ1428644
Publication date: 29 March 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2003.10.006
Nonlinear differential equations in abstract spaces (34G20) Partial functional-differential equations (35R10) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Initial value problems for higher-order parabolic equations (35K30) Invariant manifolds of functional-differential equations (34K19)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Invariant manifolds for flows in Banach spaces
- Semigroups of linear operators and applications to partial differential equations
- The Hopf bifurcation and its stability for semilinear diffusion equations with time delay arising in ecology
- Center manifolds and contractions on a scale of Banach spaces
- Geometric theory of semilinear parabolic equations
- Smooth invariant foliations in infinite dimensional spaces
- Invariant foliations for \(C^1\) semigroups in Banach spaces
- Center manifolds for infinite dimensional nonautonomous differential equations
- Some invariant manifolds for abstract functional differential equations and linearized stabilities
- Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback
- A variation-of-constants formula for abstract functional differential equations in the phase space
- Nonlinear semigroups and the existence and stability of solutions to semilinear nonautonomous evolution equations
- Theory and applications of partial functional differential equations
- Center manifolds for invariant sets
- Normal forms for semilinear functional differential equations in Banach spaces and applications. II.
- Stable and unstable manifolds for partial functional differential equations
- Flows on centre manifolds for scalar functional differential equations
- Centre manifolds for partial differential equations with delays
- Existence and Stability for Partial Functional Differential Equations
- Symmetric functional differential equations and neural networks with memory
- Existence and persistence of invariant manifolds for semiflows in Banach space
- Invariant foliations near normally hyperbolic invariant manifolds for semiflows
- Bifurcation and Asymptotic Behavior of Solutions of a Delay-Differential Equation with Diffusion
- Smoothness of Center Manifolds for Maps and Formal Adjoints for Semilinear FDEs in General Banach Spaces
- Normal forms and Hopf bifurcation for partial differential equations with delays
- Invariant manifolds
This page was built for publication: Invariant manifolds of partial functional differential equations.