Inertial manifolds for functional differential equations with infinite delay

DOI10.1142/S1793557122500450zbMath1487.34135OpenAlexW3143836412WikidataQ115244513 ScholiaQ115244513MaRDI QIDQ5865941

Anh Minh Le

Publication date: 10 June 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122500450

zbMATH Keywords

diffusioninfinite delayinertial manifoldLotka-Volterra

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Invariant manifolds of functional-differential equations (34K19) Semilinear parabolic equations (35K58)

Cites Work

• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Finite-dimensional description of convective reaction-diffusion equations
• Invariant manifolds for retarded semilinear wave equations
• The optimal gap condition for invariant manifolds
• Admissible inertial manifolds for delay equations and applications to Fisher-Kolmogorov model
• Pullback attracting inertial manifolds for nonautonomous dynamical systems
• Approximate inertial manifolds of exponential order for semilinear parabolic equations subjected to additive white noise
• Tracking properties of trajectories on random attracting Sets
• Inertial manifolds for retarded semilinear parabolic equations
• Stochastic inertial manifold
• Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations
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