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Attractors for differential equations with unbounded delays. (English) Zbl 1135.34040
For some differential equations with infinite delay (e.g., of logistic or Volterra-Lotka-type), boundedness properties of the solutions are proved; such as compact attractors, absorbing sets, and pullback attractors in the non-autonomous case. The paper starts with a section that includes a set-valued context. The main techniques are assumptions on the nonlinearity like    <F(x),x>-const·||x|| 2 , Gronwall type estimates, and the Arzelà-Ascoli theorem.
MSC:
34K25Asymptotic theory of functional-differential equations
37L30Attractors and their dimensions, Lyapunov exponents