RELATIONSHIP BETWEEN STABLE MANIFOLDS AND UNSTABLE MANIFOLDS FOR FINITE DELAY PARTIAL FUNCTIONAL DIFFERENTIAL
Abstract
Based on the equation
we construct a homomorphism from the intersection of two integral manifolds to a subspace of the phase space 
. Here, the evolution family 
is generated by the family of linear operators 
in the Banach space X. The delay term h(t, zt) satisfies the ψ-Lipschitz conditions, i.e., 
, where ψ(t) belongs to some classes of admissible function spaces. Our main method is based on the admissibility of function spaces.
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