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In this paper, we consider a class of functional differential equations with infinite delay in a real separable Hilbert space. By using the Lyapunov–Perron method, we prove the existence of… Click to show full abstract
In this paper, we consider a class of functional differential equations with infinite delay in a real separable Hilbert space. By using the Lyapunov–Perron method, we prove the existence of inertial manifolds for mild solutions. The obtained results can be applied to Lotka–Volterra diffusion models with infinite delay.
Keywords:
functional differential;
equations infinite;
infinite delay;
differential equations;
manifolds functional;
inertial manifolds
Journal Title: Asian-european Journal of Mathematics
Year Published: 2021
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Journal Title: Asian-european Journal of Mathematics
Year Published: 2021
Link to full text (if available)
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recommendations!