We show that a strongly continuous operator semigroup can be associated with the functional differential delay equation \begin{equation*}\tag{(FDE)}\begin{cases}x'(t ...
We prove the existence of inertial manifolds for partial functional differential equation du(t)dt+Au(t)=F(t)ut+g(t,ut) under the conditions that the partial differential operator 𝐴 is positive such ...
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