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nonlinear diffusion-type equations with infinite delay; existence of stable and unstable manifolds; parabolic functional equation; infinite delay; stable and unstable manifolds
It is proved that parabolic equations with infinite delay generate $C_0$-semigroup on the space of initial conditions, such that local stable and unstable manifolds can be constructed for a fully nonlinear problems with help of usual methods of the theory of parabolic equations.
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