Inertial manifolds for neutral functional differential equations with infinite delay and applications
Volume 125 / 2020
Annales Polonici Mathematici 125 (2020), 255-271
MSC: Primary 35B42, 37L25; Secondary 35K58, 34B40.
DOI: 10.4064/ap191219-29-5
Published online: 22 October 2020
Abstract
By using the Lyapunov–Perron method, we prove the existence of inertial manifolds for a class of abstract neutral functional differential equations with infinite delay and apply our results to a neutral Lotka–Volterra model with infinite delay.
