abstract parabolic equations, Nonlinear ordinary differential operators, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, operator-valued multipliers, Integral, integro-differential, and pseudodifferential operators, fractional-differential equations, maximal \(L_p\) regularity, Differential inequalities involving functions of a single real variable, Groups and semigroups of linear operators, their generalizations and applications, Sobolev-Lions spaces, abstract differential equations, Abstract harmonic analysis