Pullback incremental attraction (Q2451749)

Consider the system of ordinary differential equations with time-varying right hand side \[ {{dx}\over{dt}} = f(t,x)\;,\;x\in R^d \] The paper studies the so-called pullback qualitative behavior, i.e., the limit for \(t_0\to-\infty\) of some solution. The existence of pullback attractors for pullback incrementally attracting processes on some Banach space is shown.