Geodesic
Solution semigroup and invariant manifolds for functional equations with infinite delay
Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 175-193.

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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.
DOI : 10.21136/MB.1993.126045
Classification : 34K30, 34K99, 35B35, 35B40, 35R10, 45K05, 47D06, 47N20
Keywords: nonlinear diffusion-type equations with infinite delay; existence of stable and unstable manifolds; parabolic functional equation; infinite delay; stable and unstable manifolds 
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Petzeltová, Hana. Solution semigroup and invariant manifolds for functional equations with infinite delay. Mathematica Bohemica, Tome 118 (1993) no. 2, pp. 175-193. doi : 10.21136/MB.1993.126045. http://geodesic.mathdoc.fr/articles/10.21136/MB.1993.126045/

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