On the dynamics of abstract retarded evolution equations
Summary: This paper is concerned with the dynamics of the following abstract retarded evolution equation: \((d/dt)u(t)+Au(t)=F(u(t-r_1),\cdots,u(t-r_n))+g(t)\) in a Hilbert space \(H\), where \(A:D(A)\subset H\to H\) is a self-adjoint positive-definite operator with compact resolvent and \(F:D(A^\alpha)^n\to H(\alpha\in[0,1/2])\) is a locally Lipschitz continuous mapping. The dissipativity and pullback attractors are investigated, and the existence of locally almost periodic solutions is established.
scientific article; zbMATH DE number 6306690