Linear operators form the cornerstone of analysis in Banach spaces, offering a framework in which one can rigorously study continuity, spectral properties and stability. Banach space theory, with its ...

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 ...